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57385973 is a prime number
BaseRepresentation
bin1101101011101…
…0001111110101
310222222111202102
43122322033311
5104142322343
65405551445
71264526021
oct332721765
9128874672
1057385973
112a435a27
1217275585
13bb731c8
14789b381
1550883b8
hex36ba3f5

57385973 has 2 divisors, whose sum is σ = 57385974. Its totient is φ = 57385972.

The previous prime is 57385967. The next prime is 57385981. The reversal of 57385973 is 37958375.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 45941284 + 11444689 = 6778^2 + 3383^2 .

It is a cyclic number.

It is not a de Polignac number, because 57385973 - 28 = 57385717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57385673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28692986 + 28692987.

It is an arithmetic number, because the mean of its divisors is an integer number (28692987).

Almost surely, 257385973 is an apocalyptic number.

It is an amenable number.

57385973 is a deficient number, since it is larger than the sum of its proper divisors (1).

57385973 is an equidigital number, since it uses as much as digits as its factorization.

57385973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 793800, while the sum is 47.

The square root of 57385973 is about 7575.3529950755. The cubic root of 57385973 is about 385.7168249817.

It can be divided in two parts, 5738 and 5973, that added together give a palindrome (11711).

The spelling of 57385973 in words is "fifty-seven million, three hundred eighty-five thousand, nine hundred seventy-three".