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57092568 = 23313199631
BaseRepresentation
bin1101100111001…
…0100111011000
310222102121021120
43121302213120
5104103430233
65355405240
71262164431
oct331624730
9128377246
1057092568
112a255545
1217153820
13ba9c7b0
147822488
15502b4b3
hex36729d8

57092568 has 64 divisors (see below), whose sum is σ = 161817600. Its totient is φ = 16640640.

The previous prime is 57092557. The next prime is 57092569. The reversal of 57092568 is 86529075.

It is a super-2 number, since 2×570925682 = 6519122641669248, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57092569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1113 + ... + 10743.

It is an arithmetic number, because the mean of its divisors is an integer number (2528400).

Almost surely, 257092568 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 57092568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80908800).

57092568 is an abundant number, since it is smaller than the sum of its proper divisors (104725032).

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

57092568 is a wasteful number, since it uses less digits than its factorization.

57092568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9672 (or 9668 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 57092568 is about 7555.9624138822. The cubic root of 57092568 is about 385.0583326467.

The spelling of 57092568 in words is "fifty-seven million, ninety-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1976 2964 5928 9631 19262 28893 38524 57786 77048 115572 125203 182989 231144 250406 365978 375609 500812 548967 731956 751218 1001624 1097934 1463912 1502436 2195868 2378857 3004872 4391736 4757714 7136571 9515428 14273142 19030856 28546284 57092568