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57041664 = 283172257
BaseRepresentation
bin1101100110011…
…0001100000000
310222100000110020
43121212030000
5104100313124
65354333440
71261563141
oct331461400
9128300406
1057041664
112a220279
121712a280
13ba82584
14780bac8
15501b379
hex3666300

57041664 has 108 divisors (see below), whose sum is σ = 161897064. Its totient is φ = 17825792.

The previous prime is 57041659. The next prime is 57041671. The reversal of 57041664 is 46614075.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221824 + ... + 222080.

Almost surely, 257041664 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 57041664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80948532).

57041664 is an abundant number, since it is smaller than the sum of its proper divisors (104855400).

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

57041664 is a wasteful number, since it uses less digits than its factorization.

57041664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 279 counting only the distinct ones).

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

The square root of 57041664 is about 7552.5931970417. The cubic root of 57041664 is about 384.9438586828.

The spelling of 57041664 in words is "fifty-seven million, forty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 257 272 289 384 408 514 544 578 768 771 816 867 1028 1088 1156 1542 1632 1734 2056 2176 2312 3084 3264 3468 4112 4352 4369 4624 6168 6528 6936 8224 8738 9248 12336 13056 13107 13872 16448 17476 18496 24672 26214 27744 32896 34952 36992 49344 52428 55488 65792 69904 73984 74273 98688 104856 110976 139808 148546 197376 209712 221952 222819 279616 297092 419424 445638 559232 594184 838848 891276 1118464 1188368 1677696 1782552 2376736 3355392 3565104 4753472 7130208 9506944 14260416 19013888 28520832 57041664