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57695144 = 23131732633
BaseRepresentation
bin1101110000010…
…1101110101000
311000120012212012
43130011232220
5104232221034
65420335052
71300254263
oct334055650
9130505765
1057695144
112a627241
12173a4488
13bc50b50
14793bcda
1550e9cce
hex3705ba8

57695144 has 32 divisors (see below), whose sum is σ = 123356520. Its totient is φ = 25061376.

The previous prime is 57695129. The next prime is 57695167. The reversal of 57695144 is 44159675.

57695144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 51294244 + 6400900 = 7162^2 + 2530^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14549 + ... + 18084.

Almost surely, 257695144 is an apocalyptic number.

It is an amenable number.

57695144 is an abundant number, since it is smaller than the sum of its proper divisors (65661376).

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

57695144 is a wasteful number, since it uses less digits than its factorization.

57695144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32669 (or 32665 counting only the distinct ones).

The product of its digits is 151200, while the sum is 41.

The square root of 57695144 is about 7595.7319594625. The cubic root of 57695144 is about 386.4082769668.

The spelling of 57695144 in words is "fifty-seven million, six hundred ninety-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 32633 65266 130532 261064 424229 554761 848458 1109522 1696916 2219044 3393832 4438088 7211893 14423786 28847572 57695144