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57256092 = 223329101181
BaseRepresentation
bin1101101001101…
…0100010011100
310222201220121000
43122122202130
5104124143332
65403110300
71263445245
oct332324234
9128656530
1057256092
112a357393
1217212390
13bb2905a
147865ccc
15505eb7c
hex369a89c

57256092 has 96 divisors (see below), whose sum is σ = 155937600. Its totient is φ = 18144000.

The previous prime is 57256027. The next prime is 57256097. The reversal of 57256092 is 29065275.

57256092 is a `hidden beast` number, since 5 + 7 + 2 + 560 + 92 = 666.

57256092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×572560922 = 6556520142224928, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57256097) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 316242 + ... + 316422.

It is an arithmetic number, because the mean of its divisors is an integer number (1624350).

Almost surely, 257256092 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 57256092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77968800).

57256092 is an abundant number, since it is smaller than the sum of its proper divisors (98681508).

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

57256092 is a wasteful number, since it uses less digits than its factorization.

57256092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 57256092 is about 7566.7755351933. The cubic root of 57256092 is about 385.4256090463.

The spelling of 57256092 in words is "fifty-seven million, two hundred fifty-six thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 101 108 116 174 181 202 261 303 348 362 404 522 543 606 724 783 909 1044 1086 1212 1566 1629 1818 2172 2727 2929 3132 3258 3636 4887 5249 5454 5858 6516 8787 9774 10498 10908 11716 15747 17574 18281 19548 20996 26361 31494 35148 36562 47241 52722 54843 62988 73124 79083 94482 105444 109686 141723 158166 164529 188964 219372 283446 316332 329058 493587 530149 566892 658116 987174 1060298 1590447 1974348 2120596 3180894 4771341 6361788 9542682 14314023 19085364 28628046 57256092