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57368688 = 24313891033
BaseRepresentation
bin1101101011011…
…0000001110000
310222221122001020
43122312001300
5104141244223
65405335440
71264424436
oct332660160
9128848036
1057368688
112a423a43
1217267580
13bb68390
147894d56
1550831e3
hex36b6070

57368688 has 80 divisors (see below), whose sum is σ = 161552160. Its totient is φ = 17436672.

The previous prime is 57368677. The next prime is 57368719. The reversal of 57368688 is 88686375.

It is a self number, because there is not a number n which added to its sum of digits gives 57368688.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55020 + ... + 56052.

It is an arithmetic number, because the mean of its divisors is an integer number (2019402).

Almost surely, 257368688 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 57368688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80776080).

57368688 is an abundant number, since it is smaller than the sum of its proper divisors (104183472).

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

57368688 is a wasteful number, since it uses less digits than its factorization.

57368688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1140 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 57368688 is about 7574.2120382255. The cubic root of 57368688 is about 385.6780943507.

The spelling of 57368688 in words is "fifty-seven million, three hundred sixty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 89 104 156 178 208 267 312 356 534 624 712 1033 1068 1157 1424 2066 2136 2314 3099 3471 4132 4272 4628 6198 6942 8264 9256 12396 13429 13884 16528 18512 24792 26858 27768 40287 49584 53716 55536 80574 91937 107432 161148 183874 214864 275811 322296 367748 551622 644592 735496 1103244 1195181 1470992 2206488 2390362 3585543 4412976 4780724 7171086 9561448 14342172 19122896 28684344 57368688