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57755313 = 3271183341
BaseRepresentation
bin1101110001010…
…0011010110001
311000200021101200
43130110122301
5104241132223
65421521413
71300624560
oct334243261
9130607350
1057755313
112a668470
1217413269
13bc72355
147955bd7
15510ca43
hex37146b1

57755313 has 24 divisors (see below), whose sum is σ = 104010816. Its totient is φ = 30002400.

The previous prime is 57755309. The next prime is 57755329. The reversal of 57755313 is 31355775.

It is a happy number.

57755313 is a `hidden beast` number, since 57 + 75 + 531 + 3 = 666.

57755313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57755313 - 22 = 57755309 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (57755303) 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 23 ways as a sum of consecutive naturals, for example, 40978 + ... + 42363.

It is an arithmetic number, because the mean of its divisors is an integer number (4333784).

Almost surely, 257755313 is an apocalyptic number.

It is an amenable number.

57755313 is a deficient number, since it is larger than the sum of its proper divisors (46255503).

57755313 is a wasteful number, since it uses less digits than its factorization.

57755313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83365 (or 83362 counting only the distinct ones).

The product of its digits is 55125, while the sum is 36.

The square root of 57755313 is about 7599.6916384811. The cubic root of 57755313 is about 386.5425558705.

The spelling of 57755313 in words is "fifty-seven million, seven hundred fifty-five thousand, three hundred thirteen".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 83341 250023 583387 750069 916751 1750161 2750253 5250483 6417257 8250759 19251771 57755313