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57751056 = 2434114051
BaseRepresentation
bin1101110001001…
…1011000010000
311000200001120000
43130103120100
5104241013211
65421450000
71300606266
oct334233020
9130601500
1057751056
112a665250
1217410900
13bc7042c
147954436
15510b656
hex3713610

57751056 has 100 divisors (see below), whose sum is σ = 182388624. Its totient is φ = 17496000.

The previous prime is 57751049. The next prime is 57751061. The reversal of 57751056 is 65015775.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 57751056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12231 + ... + 16281.

Almost surely, 257751056 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 57751056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91194312).

57751056 is an abundant number, since it is smaller than the sum of its proper divisors (124637568).

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

57751056 is a wasteful number, since it uses less digits than its factorization.

57751056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 36.

The square root of 57751056 is about 7599.4115561667. The cubic root of 57751056 is about 386.5330586081.

The spelling of 57751056 in words is "fifty-seven million, seven hundred fifty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 891 1188 1296 1584 1782 2376 3564 4051 4752 7128 8102 12153 14256 16204 24306 32408 36459 44561 48612 64816 72918 89122 97224 109377 133683 145836 178244 194448 218754 267366 291672 328131 356488 401049 437508 534732 583344 656262 712976 802098 875016 1069464 1203147 1312524 1604196 1750032 2138928 2406294 2625048 3208392 3609441 4812588 5250096 6416784 7218882 9625176 14437764 19250352 28875528 57751056