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57256065 = 3451091297
BaseRepresentation
bin1101101001101…
…0100010000001
310222201220120000
43122122202001
5104124143230
65403110213
71263445206
oct332324201
9128656500
1057256065
112a357369
1217212369
13bb29039
147865cad
15505eb60
hex369a881

57256065 has 40 divisors (see below), whose sum is σ = 103658280. Its totient is φ = 30233088.

The previous prime is 57256027. The next prime is 57256097. The reversal of 57256065 is 56065275.

It can be written as a sum of positive squares in 4 ways, for example, as 28772496 + 28483569 = 5364^2 + 5337^2 .

It is not a de Polignac number, because 57256065 - 27 = 57255937 is a prime.

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 39 ways as a sum of consecutive naturals, for example, 43497 + ... + 44793.

It is an arithmetic number, because the mean of its divisors is an integer number (2591457).

Almost surely, 257256065 is an apocalyptic number.

It is an amenable number.

57256065 is a deficient number, since it is larger than the sum of its proper divisors (46402215).

57256065 is a wasteful number, since it uses less digits than its factorization.

57256065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 57256065 is about 7566.7737510778. The cubic root of 57256065 is about 385.4255484618.

The spelling of 57256065 in words is "fifty-seven million, two hundred fifty-six thousand, sixty-five".

Divisors: 1 3 5 9 15 27 45 81 109 135 327 405 545 981 1297 1635 2943 3891 4905 6485 8829 11673 14715 19455 35019 44145 58365 105057 141373 175095 424119 525285 706865 1272357 2120595 3817071 6361785 11451213 19085355 57256065