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57113532 = 22337312437
BaseRepresentation
bin1101100111011…
…1101110111100
310222110200001000
43121313232330
5104110113112
65400050300
71262312520
oct331675674
9128420030
1057113532
112a26a273
1217163990
13baa91b8
147829d80
1550327dc
hex3677bbc

57113532 has 96 divisors (see below), whose sum is σ = 174755840. Its totient is φ = 15785280.

The previous prime is 57113513. The next prime is 57113549. The reversal of 57113532 is 23531175.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 57113496 and 57113505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22218 + ... + 24654.

Almost surely, 257113532 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 57113532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87377920).

57113532 is an abundant number, since it is smaller than the sum of its proper divisors (117642308).

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

57113532 is a wasteful number, since it uses less digits than its factorization.

57113532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2480 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 57113532 is about 7557.3495353861. The cubic root of 57113532 is about 385.1054571402.

The spelling of 57113532 in words is "fifty-seven million, one hundred thirteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 372 378 434 558 651 756 837 868 1116 1302 1674 1953 2437 2604 3348 3906 4874 5859 7311 7812 9748 11718 14622 17059 21933 23436 29244 34118 43866 51177 65799 68236 75547 87732 102354 131598 151094 153531 204708 226641 263196 302188 307062 453282 460593 528829 614124 679923 906564 921186 1057658 1359846 1586487 1842372 2039769 2115316 2719692 3172974 4079538 4759461 6345948 8159076 9518922 14278383 19037844 28556766 57113532