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57308129 is a prime number
BaseRepresentation
bin1101101010011…
…1001111100001
310222211112222022
43122213033201
5104132330004
65404151225
71264053044
oct332471741
9128745868
1057308129
112a39249a
1217238515
13bb46948
14787ac5b
1550702be
hex36a73e1

57308129 has 2 divisors, whose sum is σ = 57308130. Its totient is φ = 57308128.

The previous prime is 57308081. The next prime is 57308131. The reversal of 57308129 is 92180375.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43230625 + 14077504 = 6575^2 + 3752^2 .

It is a cyclic number.

It is not a de Polignac number, because 57308129 - 212 = 57304033 is a prime.

It is a super-4 number, since 4×573081294 (a number of 32 digits) contains 4444 as substring.

Together with 57308131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (57308149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28654064 + 28654065.

It is an arithmetic number, because the mean of its divisors is an integer number (28654065).

Almost surely, 257308129 is an apocalyptic number.

It is an amenable number.

57308129 is a deficient number, since it is larger than the sum of its proper divisors (1).

57308129 is an equidigital number, since it uses as much as digits as its factorization.

57308129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 57308129 is about 7570.2132730855. The cubic root of 57308129 is about 385.5423379318.

The spelling of 57308129 in words is "fifty-seven million, three hundred eight thousand, one hundred twenty-nine".