48 (number)
From Wikipedia, the free encyclopedia
48 (forty-eight) is the natural number following 47 and preceding 49. It is one third of a gross or four dozens.
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 |
Contents |
[edit] In mathematics
Forty-eight is the 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 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.
[edit] In science
- The atomic number of cadmium
- The number of Ptolemaic constellations
[edit] 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.
[edit] 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)
- Siddharta Guatama, the founder of Bhuddism, sat under a tree for 48 days attempting to figure life out. Bhuddism was the result.
[edit] 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
[edit] In sports
- 48 was the number worn by baseball player "Sudden" Sam McDowell for the Cleveland Indians (1964-71), San Francisco Giants (1972-73), New York Yankees (1974-75), and Pittsburgh Pirates (1975).
[edit] 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
- 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" 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 programing, use modulus ten to break it into individual digits.
- 48 is the number of chromosomes apes have.