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57155072 = 291331277
BaseRepresentation
bin1101101000000…
…1111000000000
310222112210000112
43122001320000
5104112430242
65401010452
71262544602
oct332017000
9128483015
1057155072
112a2984a7
1217183a28
13bac2090
14783b172
15503ec82
hex3681e00

57155072 has 80 divisors (see below), whose sum is σ = 127408512. Its totient is φ = 25436160.

The previous prime is 57155057. The next prime is 57155081. The reversal of 57155072 is 27055175.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 206198 + ... + 206474.

Almost surely, 257155072 is an apocalyptic number.

57155072 is a gapful number since it is divisible by the number (52) 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 57155072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63704256).

57155072 is an abundant number, since it is smaller than the sum of its proper divisors (70253440).

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

57155072 is a wasteful number, since it uses less digits than its factorization.

57155072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 12250, while the sum is 32.

The square root of 57155072 is about 7560.0973538705. The cubic root of 57155072 is about 385.1987998986.

The spelling of 57155072 in words is "fifty-seven million, one hundred fifty-five thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 277 403 416 496 512 554 806 832 992 1108 1612 1664 1984 2216 3224 3328 3601 3968 4432 6448 6656 7202 7936 8587 8864 12896 14404 15872 17174 17728 25792 28808 34348 35456 51584 57616 68696 70912 103168 111631 115232 137392 141824 206336 223262 230464 274784 446524 460928 549568 893048 921856 1099136 1786096 1843712 2198272 3572192 4396544 7144384 14288768 28577536 57155072