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57691136 = 210531063
BaseRepresentation
bin1101110000010…
…0110000000000
311000120000100202
43130010300000
5104232104021
65420304332
71300236506
oct334046000
9130500322
1057691136
112a624228
12173a20a8
13bc4c089
14793a676
1550e8a0b
hex3704c00

57691136 has 44 divisors (see below), whose sum is σ = 117612432. Its totient is φ = 28274688.

The previous prime is 57691129. The next prime is 57691159. The reversal of 57691136 is 63119675.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 57691136.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53741 + ... + 54803.

Almost surely, 257691136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57691136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58806216).

57691136 is an abundant number, since it is smaller than the sum of its proper divisors (59921296).

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

57691136 is a wasteful number, since it uses less digits than its factorization.

57691136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1118 counting only the distinct ones).

The product of its digits is 34020, while the sum is 38.

The square root of 57691136 is about 7595.4681225057. The cubic root of 57691136 is about 386.3993290142.

The spelling of 57691136 in words is "fifty-seven million, six hundred ninety-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1024 1063 1696 2126 3392 4252 6784 8504 13568 17008 27136 34016 54272 56339 68032 112678 136064 225356 272128 450712 544256 901424 1088512 1802848 3605696 7211392 14422784 28845568 57691136