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57023129 is a prime number
BaseRepresentation
bin1101100110000…
…1101010011001
310222022002000202
43121201222121
5104044220004
65354111545
71261455122
oct331415231
9128262022
1057023129
112a208359
121711b5b5
13ba76cc7
147805049
155015b1e
hex3661a99

57023129 has 2 divisors, whose sum is σ = 57023130. Its totient is φ = 57023128.

The previous prime is 57023119. The next prime is 57023137. The reversal of 57023129 is 92132075.

57023129 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., 51093904 + 5929225 = 7148^2 + 2435^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57023129 is a prime.

It is not a weakly prime, because it can be changed into another prime (57023119) 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, 28511564 + 28511565.

It is an arithmetic number, because the mean of its divisors is an integer number (28511565).

Almost surely, 257023129 is an apocalyptic number.

It is an amenable number.

57023129 is a deficient number, since it is larger than the sum of its proper divisors (1).

57023129 is an equidigital number, since it uses as much as digits as its factorization.

57023129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 57023129 is about 7551.3660353608. The cubic root of 57023129 is about 384.9021598796.

The spelling of 57023129 in words is "fifty-seven million, twenty-three thousand, one hundred twenty-nine".