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57190944 = 253797541
BaseRepresentation
bin1101101000101…
…0101000100000
310222121121020010
43122022220200
5104120102234
65401444520
71263054306
oct332125040
9128547203
1057190944
112a312448
12171a0740
13bb054c5
14784a276
15504a6e9
hex368aa20

57190944 has 48 divisors (see below), whose sum is σ = 152046720. Its totient is φ = 18819840.

The previous prime is 57190927. The next prime is 57190951. The reversal of 57190944 is 44909175.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×571909442 = 6541608151222272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3814 + ... + 11354.

It is an arithmetic number, because the mean of its divisors is an integer number (3167640).

Almost surely, 257190944 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 57190944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76023360).

57190944 is an abundant number, since it is smaller than the sum of its proper divisors (94855776).

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

57190944 is a wasteful number, since it uses less digits than its factorization.

57190944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7633 (or 7625 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 57190944 is about 7562.4694379548. The cubic root of 57190944 is about 385.2793699517.

The spelling of 57190944 in words is "fifty-seven million, one hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 7541 7584 15082 22623 30164 45246 60328 90492 120656 180984 241312 361968 595739 723936 1191478 1787217 2382956 3574434 4765912 7148868 9531824 14297736 19063648 28595472 57190944