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57080364 = 223114153199
BaseRepresentation
bin1101100110111…
…1101000101100
310222101222112120
43121233220230
5104103032424
65355232540
71262114025
oct331575054
9128358476
1057080364
112a247360
1217148750
13ba97083
14781bc4c
155027a79
hex366fa2c

57080364 has 96 divisors (see below), whose sum is σ = 152409600. Its totient is φ = 16473600.

The previous prime is 57080299. The next prime is 57080371. The reversal of 57080364 is 46308075.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 286737 + ... + 286935.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 257080364 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 57080364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76204800).

57080364 is an abundant number, since it is smaller than the sum of its proper divisors (95329236).

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

57080364 is a wasteful number, since it uses less digits than its factorization.

57080364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 57080364 is about 7555.1547965611. The cubic root of 57080364 is about 385.0308942432.

The spelling of 57080364 in words is "fifty-seven million, eighty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 53 66 82 106 123 132 159 164 199 212 246 318 398 451 492 583 597 636 796 902 1166 1194 1353 1749 1804 2173 2189 2332 2388 2706 3498 4346 4378 5412 6519 6567 6996 8159 8692 8756 10547 13038 13134 16318 21094 23903 24477 26076 26268 31641 32636 42188 47806 48954 63282 71709 89749 95612 97908 116017 126564 143418 179498 232034 269247 286836 348051 358996 432427 464068 538494 696102 864854 1076988 1297281 1392204 1729708 2594562 4756697 5189124 9513394 14270091 19026788 28540182 57080364