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38 (number) - Wikipedia, the free encyclopedia

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 2\cdot 19
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

[edit] Astronomy

[edit] In other fields

Most people will see the number 38, but people with red-green color blindness might see 88 instead.
Most people will see the number 38, but people with red-green color blindness might see 88 instead.

Thirty-eight is also:

[edit] Historical years

38 A.D., 38 B.C., 1938, 2038, etc.

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