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57936061 is a prime number
BaseRepresentation
bin1101110100000…
…0100010111101
311001000110100001
43131000202331
5104312423221
65425434301
71302306541
oct335004275
9131013301
1057936061
112a781247
121749b991
13c0066c1
1479a1a21
155146391
hex37408bd

57936061 has 2 divisors, whose sum is σ = 57936062. Its totient is φ = 57936060.

The previous prime is 57936059. The next prime is 57936089. The reversal of 57936061 is 16063975.

57936061 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., 49491225 + 8444836 = 7035^2 + 2906^2 .

It is a cyclic number.

It is not a de Polignac number, because 57936061 - 21 = 57936059 is a prime.

Together with 57936059, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 57936061.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57936001) 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, 28968030 + 28968031.

It is an arithmetic number, because the mean of its divisors is an integer number (28968031).

Almost surely, 257936061 is an apocalyptic number.

It is an amenable number.

57936061 is a deficient number, since it is larger than the sum of its proper divisors (1).

57936061 is an equidigital number, since it uses as much as digits as its factorization.

57936061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34020, while the sum is 37.

The square root of 57936061 is about 7611.5741473101. The cubic root of 57936061 is about 386.9453703933.

The spelling of 57936061 in words is "fifty-seven million, nine hundred thirty-six thousand, sixty-one".