Search a number
-
+
37938869 is a prime number
BaseRepresentation
bin1001000010111…
…0011010110101
32122101111100022
42100232122311
534203020434
63433054525
7640321643
oct220563265
978344308
1037938869
111a463041
1210857445
137b24647
145078193
1534e622e
hex242e6b5

37938869 has 2 divisors, whose sum is σ = 37938870. Its totient is φ = 37938868.

The previous prime is 37938853. The next prime is 37938907. The reversal of 37938869 is 96883973.

37938869 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32058244 + 5880625 = 5662^2 + 2425^2 .

It is a cyclic number.

It is not a de Polignac number, because 37938869 - 24 = 37938853 is a prime.

It is a super-2 number, since 2×379388692 = 2878715561998322, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 37938869.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37938809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18969434 + 18969435.

It is an arithmetic number, because the mean of its divisors is an integer number (18969435).

Almost surely, 237938869 is an apocalyptic number.

It is an amenable number.

37938869 is a deficient number, since it is larger than the sum of its proper divisors (1).

37938869 is an equidigital number, since it uses as much as digits as its factorization.

37938869 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1959552, while the sum is 53.

The square root of 37938869 is about 6159.4536283667. The cubic root of 37938869 is about 336.0171624123.

The spelling of 37938869 in words is "thirty-seven million, nine hundred thirty-eight thousand, eight hundred sixty-nine".