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57306689 = 1121373457
BaseRepresentation
bin1101101010011…
…0111001000001
310222211110222222
43122212321001
5104132303224
65404140425
71264045616
oct332467101
9128743888
1057306689
112a391400
1217237715
13bb460ab
14787a50d
15506eb5e
hex36a6e41

57306689 has 12 divisors (see below), whose sum is σ = 63468132. Its totient is φ = 51701760.

The previous prime is 57306653. The next prime is 57306701. The reversal of 57306689 is 98660375.

57306689 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 2 ways, for example, as 13017664 + 44289025 = 3608^2 + 6655^2 .

It is not a de Polignac number, because 57306689 - 28 = 57306433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57306619) 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 11 ways as a sum of consecutive naturals, for example, 14849 + ... + 18305.

It is an arithmetic number, because the mean of its divisors is an integer number (5289011).

Almost surely, 257306689 is an apocalyptic number.

It is an amenable number.

57306689 is a deficient number, since it is larger than the sum of its proper divisors (6161443).

57306689 is a wasteful number, since it uses less digits than its factorization.

57306689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3616 (or 3605 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 57306689 is about 7570.1181628823. The cubic root of 57306689 is about 385.5391086889.

The spelling of 57306689 in words is "fifty-seven million, three hundred six thousand, six hundred eighty-nine".

Divisors: 1 11 121 137 1507 3457 16577 38027 418297 473609 5209699 57306689