38 (number)
From Wikipedia, the free encyclopedia
38 (thirty-eight) is the natural number following 37 and preceding 39.
| Cardinal | 38 thirty-eight |
| Ordinal | 38th thirty-eighth |
| Factorization |  |
| Divisors | 1, 2, 19, 38 |
| Roman numeral | XXXVIII |
| Binary | 100110 |
| Hexadecimal | 26 |
Contents |
[edit] In mathematics
38 is the 11th distinct biprime and the 7th in the {2.q} family. It is the initial member of the third distinct biprime pair (38,39).
38 has an aliquot sum of 22 which is itself a distinct biprime In fact 38 is the first number to be at the head of a chain of four distinct biprimes in its 8 member aliquot sequence (38,22,14,10,8,7,1,0). 38 is the 8th member of the 7-aliquot tree.
38! - 1 yields 523022617466601111760007224100074291199999999, which is a factorial prime.
There is no answer to the equation φ(x) = 38, making 38 a nontotient.
38 is the sum of the squares of the first three primes.
37 and 38 are the first pair of consecutive positive integers not divisible by any of their digits.
38 is the largest even number which cannot be written as the sum of two odd composite numbers.
[edit] In science
- The atomic number of strontium
[edit] Astronomy
- The Messier object M38, a magnitude 7.0 open cluster in the constellation Auriga
- The Saros number of
- the solar eclipse series which began on -1729 June 26 and ended on -431 August 14. The duration of Saros series 38 was 1298.1 years, and it contained 73 solar eclipses.
- the lunar eclipse series which began on -1408 April 16 and ended on -111 June 3. The duration of Saros series 38 was 1298.1 years, and it contained 73 lunar eclipses.
- The New General Catalogue object NGC 38, a spiral galaxy in the constellation Pisces
- The 38th parallel north is pre-Korean War boundary between North Korea and South Korea.
[edit] In other fields
Thirty-eight is also:
- The number of slots on an American Roulette wheel
- The number of games that each team in the current English Premiership, the top division in English Association Football, plays in a season
- Bill C-38 legalized same-sex marriage in Canada
- The number of years it took the Israelites to travel from Kadesh Barnea to the Zered valley in Deuteronomy.
- A "38" is often the name for a snub nose .38 caliber revolver
- The 38 class is the most famous class of steam locomotive used in New South Wales
