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57676086 = 232131032393
BaseRepresentation
bin1101110000000…
…1000100110110
311000112020201100
43130001010312
5104231113321
65420110530
71300144566
oct334010466
9130466640
1057676086
112a613996
1217395446
13bc45280
147934da6
1550e4326
hex3701136

57676086 has 48 divisors (see below), whose sum is σ = 135940896. Its totient is φ = 17566848.

The previous prime is 57676067. The next prime is 57676141. The reversal of 57676086 is 68067675.

57676086 is a `hidden beast` number, since 576 + 76 + 0 + 8 + 6 = 666.

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 23 ways as a sum of consecutive naturals, for example, 22906 + ... + 25298.

It is an arithmetic number, because the mean of its divisors is an integer number (2832102).

Almost surely, 257676086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57676086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67970448).

57676086 is an abundant number, since it is smaller than the sum of its proper divisors (78264810).

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

57676086 is a wasteful number, since it uses less digits than its factorization.

57676086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 57676086 is about 7594.4773355380. The cubic root of 57676086 is about 386.3657258413.

The spelling of 57676086 in words is "fifty-seven million, six hundred seventy-six thousand, eighty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 103 117 206 234 309 618 927 1339 1854 2393 2678 4017 4786 7179 8034 12051 14358 21537 24102 31109 43074 62218 93327 186654 246479 279981 492958 559962 739437 1478874 2218311 3204227 4436622 6408454 9612681 19225362 28838043 57676086