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57984593 is a prime number
BaseRepresentation
bin1101110100110…
…0011001010001
311001002220220112
43131030121101
5104321001333
65430451105
71302601202
oct335143121
9131086815
1057984593
112a804757
1217503a95
13c022814
1479b55a9
155155948
hex374c651

57984593 has 2 divisors, whose sum is σ = 57984594. Its totient is φ = 57984592.

The previous prime is 57984581. The next prime is 57984611. The reversal of 57984593 is 39548975.

57984593 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., 36566209 + 21418384 = 6047^2 + 4628^2 .

It is a cyclic number.

It is not a de Polignac number, because 57984593 - 26 = 57984529 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (57984503) 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, 28992296 + 28992297.

It is an arithmetic number, because the mean of its divisors is an integer number (28992297).

Almost surely, 257984593 is an apocalyptic number.

It is an amenable number.

57984593 is a deficient number, since it is larger than the sum of its proper divisors (1).

57984593 is an equidigital number, since it uses as much as digits as its factorization.

57984593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1360800, while the sum is 50.

The square root of 57984593 is about 7614.7615195750. The cubic root of 57984593 is about 387.0533859720.

The spelling of 57984593 in words is "fifty-seven million, nine hundred eighty-four thousand, five hundred ninety-three".