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38131596 = 22327011511
BaseRepresentation
bin1001000101110…
…1011110001100
32122202021201100
42101131132030
534230202341
63441143100
7642053556
oct221353614
978667640
1038131596
111a584918
121092aa90
137b91299
1450c84d6
1535333b6
hex245d78c

38131596 has 36 divisors (see below), whose sum is σ = 96589584. Its totient is φ = 12684000.

The previous prime is 38131591. The next prime is 38131603. The reversal of 38131596 is 69513183.

It is a happy number.

38131596 is a `hidden beast` number, since 38 + 1 + 31 + 596 = 666.

38131596 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×381315962 = 2908037227014432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 38131596.

It is not an unprimeable number, because it can be changed into a prime (38131591) 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 in 11 ways as a sum of consecutive naturals, for example, 24481 + ... + 25991.

It is an arithmetic number, because the mean of its divisors is an integer number (2683044).

Almost surely, 238131596 is an apocalyptic number.

38131596 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38131596 is an abundant number, since it is smaller than the sum of its proper divisors (58457988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38131596 is a wasteful number, since it uses less digits than its factorization.

38131596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 2217 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 38131596 is about 6175.0786229812. The cubic root of 38131596 is about 336.5851834739.

The spelling of 38131596 in words is "thirty-eight million, one hundred thirty-one thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 701 1402 1511 2103 2804 3022 4206 4533 6044 6309 8412 9066 12618 13599 18132 25236 27198 54396 1059211 2118422 3177633 4236844 6355266 9532899 12710532 19065798 38131596