48 (number)
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48 is the natural number following 47 and preceding 49.
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| Cardinal | forty-eight | ||
| Ordinal | 48th (forty-eighth) | ||
| Factorization | <math>2^4\cdot 3<math> | ||
| Divisors | 2, 3, 4, 6, 8, 12, 16, 24 | ||
| Roman numeral | XLVIII | ||
| Binary | 0110000 | ||
| Hexadecimal | 30 | ||
In mathematics
Forty-eight is the double factorial of 6, four dozens, a highly composite number, a 17-gonal number and a Harshad number.
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.
In science
- The atomic number of cadmium
- The number of Ptolemaic constellations
In astronomy,
- Messier object M48, a magnitude 5.5 open cluster in the constellation Hydra
- The New General Catalogue object (http://www.ngcic.org/) NGC 48, a barred spiral galaxy in the constellation Andromeda
- The Saros number (http://sunearth.gsfc.nasa.gov/eclipse/SEsaros/SEsaros1-175.html) 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 (http://sunearth.gsfc.nasa.gov/eclipse/LEsaros/LEsaros1-175.html) 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 other fields
Forty-eight is also:
- twice the total number of major and minor keys in the 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.
- the code for international direct dial phone calls to Poland.
- the model number of the HP-48 S/SX/G/GX/G+/GII
- the number of hours in two days, and hence also part of the title of the movies 48 Hrs. and Another 48 Hrs., starring Eddie Murphy and Nick Nolte.
- the years AD 48, 48 BC, or 1948.es:Cuarenta y ocho
eo:Kvardek ok fr:48 (nombre) ko:48 ia:48 it:Quarantotto nl:48 (getal) ja:48 pt:Quarenta e oito sl:48 (število) sv:48 (tal) zh:48