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57945272 = 23711109863
BaseRepresentation
bin1101110100001…
…0110010111000
311001000220222012
43131002302320
5104313222042
65425545052
71302345440
oct335026270
9131026865
1057945272
112a788160
12174a5188
13c00a958
1479a5120
155148e82
hex3742cb8

57945272 has 64 divisors (see below), whose sum is σ = 136857600. Its totient is φ = 22343040.

The previous prime is 57945247. The next prime is 57945289. The reversal of 57945272 is 27254975.

57945272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66713 + ... + 67575.

It is an arithmetic number, because the mean of its divisors is an integer number (2138400).

Almost surely, 257945272 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 57945272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68428800).

57945272 is an abundant number, since it is smaller than the sum of its proper divisors (78912328).

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

57945272 is a wasteful number, since it uses less digits than its factorization.

57945272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 992 counting only the distinct ones).

The product of its digits is 176400, while the sum is 41.

The square root of 57945272 is about 7612.1791886424. The cubic root of 57945272 is about 386.9658755552.

The spelling of 57945272 in words is "fifty-seven million, nine hundred forty-five thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 109 154 218 308 436 616 763 863 872 1199 1526 1726 2398 3052 3452 4796 6041 6104 6904 8393 9493 9592 12082 16786 18986 24164 33572 37972 48328 66451 67144 75944 94067 132902 188134 265804 376268 531608 658469 752536 1034737 1316938 2069474 2633876 4138948 5267752 7243159 8277896 14486318 28972636 57945272