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57656313 = 331113109137
BaseRepresentation
bin1101101111110…
…0001111111001
311000111020121000
43123330033321
5104230000223
65415435213
71300033131
oct333741771
9130436530
1057656313
112a600050
1217385b09
13bc39280
14792bac1
1550dd543
hex36fc3f9

57656313 has 64 divisors (see below), whose sum is σ = 102009600. Its totient is φ = 31726080.

The previous prime is 57656309. The next prime is 57656327. The reversal of 57656313 is 31365675.

It is a happy number.

57656313 is a `hidden beast` number, since 576 + 56 + 31 + 3 = 666.

It is not a de Polignac number, because 57656313 - 22 = 57656309 is a prime.

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 not an unprimeable number, because it can be changed into a prime (57656303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 420781 + ... + 420917.

It is an arithmetic number, because the mean of its divisors is an integer number (1593900).

Almost surely, 257656313 is an apocalyptic number.

It is an amenable number.

57656313 is a deficient number, since it is larger than the sum of its proper divisors (44353287).

57656313 is a wasteful number, since it uses less digits than its factorization.

57656313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 273 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The square root of 57656313 is about 7593.1754227069. The cubic root of 57656313 is about 386.3215684142.

The spelling of 57656313 in words is "fifty-seven million, six hundred fifty-six thousand, three hundred thirteen".

Divisors: 1 3 9 11 13 27 33 39 99 109 117 137 143 297 327 351 411 429 981 1199 1233 1287 1417 1507 1781 2943 3597 3699 3861 4251 4521 5343 10791 12753 13563 14933 15587 16029 19591 32373 38259 40689 44799 46761 48087 58773 134397 140283 164263 176319 194129 403191 420849 492789 528957 582387 1478367 1747161 2135419 4435101 5241483 6406257 19218771 57656313