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57313256 = 237111317421
BaseRepresentation
bin1101101010100…
…0011111101000
310222211211000012
43122220133220
5104133011011
65404231052
71264104020
oct332503750
9128754005
1057313256
112a396330
121723b488
13bb49090
14787ca80
155071a8b
hex36a87e8

57313256 has 128 divisors (see below), whose sum is σ = 153135360. Its totient is φ = 19353600.

The previous prime is 57313237. The next prime is 57313271. The reversal of 57313256 is 65231375.

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, 135926 + ... + 136346.

It is an arithmetic number, because the mean of its divisors is an integer number (1196370).

Almost surely, 257313256 is an apocalyptic number.

57313256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57313256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76567680).

57313256 is an abundant number, since it is smaller than the sum of its proper divisors (95822104).

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

57313256 is a wasteful number, since it uses less digits than its factorization.

57313256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 471 counting only the distinct ones).

The product of its digits is 18900, while the sum is 32.

The square root of 57313256 is about 7570.5518953376. The cubic root of 57313256 is about 385.5538349431.

It can be divided in two parts, 57 and 313256, that added together give a palindrome (313313).

The spelling of 57313256 in words is "fifty-seven million, three hundred thirteen thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 11 13 14 17 22 26 28 34 44 52 56 68 77 88 91 104 119 136 143 154 182 187 221 238 286 308 364 374 421 442 476 572 616 728 748 842 884 952 1001 1144 1309 1496 1547 1684 1768 2002 2431 2618 2947 3094 3368 4004 4631 4862 5236 5473 5894 6188 7157 8008 9262 9724 10472 10946 11788 12376 14314 17017 18524 19448 21892 23576 28628 32417 34034 37048 38311 43784 50099 57256 60203 64834 68068 76622 78727 93041 100198 120406 129668 136136 153244 157454 186082 200396 240812 259336 306488 314908 372164 400792 421421 481624 551089 629816 651287 744328 842842 1023451 1102178 1302574 1685684 2046902 2204356 2605148 3371368 4093804 4408712 5210296 7164157 8187608 14328314 28656628 57313256