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57906313 is a prime number
BaseRepresentation
bin1101110011100…
…1010010001001
311000221221112021
43130321102021
5104311000223
65425044441
71302124033
oct334712211
9130857467
1057906313
112a760963
1217486721
13bcc5cba
147994c53
15513c65d
hex3739489

57906313 has 2 divisors, whose sum is σ = 57906314. Its totient is φ = 57906312.

The previous prime is 57906311. The next prime is 57906349. The reversal of 57906313 is 31360975.

57906313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57881664 + 24649 = 7608^2 + 157^2 .

It is a cyclic number.

It is not a de Polignac number, because 57906313 - 21 = 57906311 is a prime.

Together with 57906311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (57906311) 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 as a sum of consecutive naturals, namely, 28953156 + 28953157.

It is an arithmetic number, because the mean of its divisors is an integer number (28953157).

Almost surely, 257906313 is an apocalyptic number.

It is an amenable number.

57906313 is a deficient number, since it is larger than the sum of its proper divisors (1).

57906313 is an equidigital number, since it uses as much as digits as its factorization.

57906313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17010, while the sum is 34.

The square root of 57906313 is about 7609.6197671106. The cubic root of 57906313 is about 386.8791317308.

The spelling of 57906313 in words is "fifty-seven million, nine hundred six thousand, three hundred thirteen".