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57378929 is a prime number
BaseRepresentation
bin1101101011100…
…0100001110001
310222222011002112
43122320201301
5104142111204
65405455105
71264466336
oct332704161
9128864075
1057378929
112a430703
1217271495
13bb6cc3a
14789898d
15508626e
hex36b8871

57378929 has 2 divisors, whose sum is σ = 57378930. Its totient is φ = 57378928.

The previous prime is 57378911. The next prime is 57378941. The reversal of 57378929 is 92987375.

It is a happy number.

57378929 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53949025 + 3429904 = 7345^2 + 1852^2 .

It is a cyclic number.

It is not a de Polignac number, because 57378929 - 212 = 57374833 is a prime.

It is not a weakly prime, because it can be changed into another prime (57378989) 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, 28689464 + 28689465.

It is an arithmetic number, because the mean of its divisors is an integer number (28689465).

Almost surely, 257378929 is an apocalyptic number.

It is an amenable number.

57378929 is a deficient number, since it is larger than the sum of its proper divisors (1).

57378929 is an equidigital number, since it uses as much as digits as its factorization.

57378929 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 952560, while the sum is 50.

The square root of 57378929 is about 7574.8880519781. Note that the first 3 decimals coincide. The cubic root of 57378929 is about 385.7010423763.

The spelling of 57378929 in words is "fifty-seven million, three hundred seventy-eight thousand, nine hundred twenty-nine".