48 (number)
48 (forty-eight) is the natural number following 47 and preceding 49. It is one third of a gross or four dozens.
| Template:Numbers 40s | |
| Cardinal | 48 forty-eight |
| Ordinal | 48th forty-eighth |
| Factorization | |
| Divisors | 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 |
| Roman numeral | XLVIII |
| Binary | 110000 |
| Duodecimal | 40 |
| Hexadecimal | 30 |
| Octal | 60 |
In mathematics
Forty-eight is a double factorial of 6, a highly composite number. Like all other multiples of 6, it is a semiperfect number. 48 is the second 17-gonal number.
48 is the first number of the form (24.q) and is in abundance having an aliquot sum of 76. It is the lowest composite number to fall into the 41-aliquot tree having the 7 aliquot number sequence,(48, 76 , 64, 63, 41, 1, 0). 48 is highly abundant with an aliquot sum 158% higher than itself.
48 is the smallest number with exactly ten divisors.
There are 11 solutions to the equation φ(x) = 48, namely 65, 104, 105, 112, 130, 140, 144, 156, 168, 180 and 210. This is more than any integer below 48, making 48 a highly totient number.
48 is in base 10 a Harshad number. It has 24, 2, 12,and 4 as factors.
In science
- The atomic number of cadmium
- The number of Ptolemaic constellations
Astronomy
- Messier object M48, a magnitude 5.5 open cluster in the constellation Hydra
- The New General Catalogue object NGC 48, a barred spiral galaxy in the constellation Andromeda
- The Saros number of the solar eclipse series which began on -1331 February 8 and ended on -15 April 9. The duration of Saros series 48 was 1316.2 years, and it contained 74 solar eclipses.
- The Saros number of the lunar eclipse series which began on -1246 July 11 and ended on 124 October 11. The duration of Saros series 48 was 1370.3 years, and it contained 77 lunar eclipses.
In religion
- The prophecies of 48 Jewish prophets and 7 prophetesses [1] were recorded in the Tanakh for posterity
- According to the Mishnah, Torah wisdom is acquired via 48 ways (Pirkei Avoth 6:6)
- Siddhartha Gautama, the founder of Buddhism, sat under a bo tree for 48 days attempting to figure life out. Buddhism was the result.
In music
- 48 is twice the total number of major and minor keys in Western tonal music (twenty-four), not counting enharmonic equivalents. Johann Sebastian Bach's Well-Tempered Clavier is informally known as The Forty-Eight because it consists of a prelude and a fugue in each major and minor key, for a total of forty-eight pieces.
- 48 is a song by Sunny Day Real Estate
- "48 Hour Parole" is a song by the Hollies
- Formerly known as Bonehead, Familiar 48 is an alternative pop/rock band
- The jam band Phish has 48 albums to date.
In sports
48 is the car number in NASCAR Nextel Cup series of Jimmie Johnson, winner of the 2006 Daytona 500 and Cup champion of that year.
At the University of Michigan, 48 is the retired jersey number of Gerald Ford, who would be better known for his political career than as a star of the Michigan Wolverines football team.
In other fields
Forty-eight is:
- the number of hours in two days, and hence also part of the title of the movies 48 Hrs. and Another 48 Hrs.
- the code for international direct dial phone calls to Poland.
- the model number of the HP-48 S/SX/G/GX/G+/GII
- The car number of 2006 NASCAR Nextel Cup champion Jimmie Johnson
- Ohio state player number 48 is Jon Thoma and he is a punter.
- the number of hours one has to make a film in the 48 Hour Film Project
- the number of cards in a Pinochle or Hanafuda deck.
- 48 Hours starred Eddie Murphy and Nick Nolte. The sequel was “Another 48 Hours”
- "48 Hours" is a TV show on CBS
- The number of episodes of Space:1999.
- Arizona is the 48th state in the Union
- The "Continental" 48 states are also referred to as the Lower 48" and "48 contiguous states"
- Howdy Doody had 48 freckles (there were only 48 states in the Union when it first aired in 1947)
- 48 (1996 Novel) is a book written by James Herbert
- The number 48 in ASCII is what you add to any single digit integer to convert to its ASCII value.
- If programming, use modulus ten to break it into individual digits.
- 48 is the number of chromosomes apes have.
- In the "Potrzebie System of Weights and Measures" (Mad #33) by Donald Knuth, 48 things is one MAD. (49 things is one "Baker's MAD.")
- MAC address uses 48-bit (6-byte)
In Anime
- In Full Metal Alchemist, the Slicer Brothers are joined to a single suit of armor under the alias number 48 when guarding Laboratory Five.