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57256032 = 2531633659
BaseRepresentation
bin1101101001101…
…0100001100000
310222201220111210
43122122201200
5104124143112
65403110120
71263445131
oct332324140
9128656453
1057256032
112a357339
1217212340
13bb29012
147865c88
15505eb3c
hex369a860

57256032 has 48 divisors (see below), whose sum is σ = 151260480. Its totient is φ = 18963072.

The previous prime is 57256027. The next prime is 57256097. The reversal of 57256032 is 23065275.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 13819 + ... + 17477.

It is an arithmetic number, because the mean of its divisors is an integer number (3151260).

Almost surely, 257256032 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 57256032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75630240).

57256032 is an abundant number, since it is smaller than the sum of its proper divisors (94004448).

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

57256032 is a wasteful number, since it uses less digits than its factorization.

57256032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3835 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 57256032 is about 7566.7715704916. The cubic root of 57256032 is about 385.4254744141.

The spelling of 57256032 in words is "fifty-seven million, two hundred fifty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 326 489 652 978 1304 1956 2608 3659 3912 5216 7318 7824 10977 14636 15648 21954 29272 43908 58544 87816 117088 175632 351264 596417 1192834 1789251 2385668 3578502 4771336 7157004 9542672 14314008 19085344 28628016 57256032