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57864409 is a prime number
BaseRepresentation
bin1101110010111…
…1000011011001
311000212211001021
43130233003121
5104303130114
65424122441
71301560621
oct334570331
9130784037
1057864409
112a732429
1217466421
13bcacbc5
147983881
155130024
hex372f0d9

57864409 has 2 divisors, whose sum is σ = 57864410. Its totient is φ = 57864408.

The previous prime is 57864397. The next prime is 57864421. The reversal of 57864409 is 90446875.

It is a balanced prime because it is at equal distance from previous prime (57864397) and next prime (57864421).

It can be written as a sum of positive squares in only one way, i.e., 43824400 + 14040009 = 6620^2 + 3747^2 .

It is a cyclic number.

It is not a de Polignac number, because 57864409 - 25 = 57864377 is a prime.

It is a super-3 number, since 3×578644093 (a number of 24 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (57864509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28932204 + 28932205.

It is an arithmetic number, because the mean of its divisors is an integer number (28932205).

Almost surely, 257864409 is an apocalyptic number.

It is an amenable number.

57864409 is a deficient number, since it is larger than the sum of its proper divisors (1).

57864409 is an equidigital number, since it uses as much as digits as its factorization.

57864409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 57864409 is about 7606.8659117931. The cubic root of 57864409 is about 386.7857873012.

The spelling of 57864409 in words is "fifty-seven million, eight hundred sixty-four thousand, four hundred nine".