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57744593 is a prime number
BaseRepresentation
bin1101110001000…
…1110011010001
311000122201200122
43130101303101
5104240311333
65421400025
71300551404
oct334216321
9130581618
1057744593
112a660405
1217409015
13bc6a4ca
147951d3b
155109798
hex3711cd1

57744593 has 2 divisors, whose sum is σ = 57744594. Its totient is φ = 57744592.

The previous prime is 57744451. The next prime is 57744601. The reversal of 57744593 is 39544775.

57744593 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., 40538689 + 17205904 = 6367^2 + 4148^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57744593 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (57744293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28872296 + 28872297.

It is an arithmetic number, because the mean of its divisors is an integer number (28872297).

Almost surely, 257744593 is an apocalyptic number.

It is an amenable number.

57744593 is a deficient number, since it is larger than the sum of its proper divisors (1).

57744593 is an equidigital number, since it uses as much as digits as its factorization.

57744593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 529200, while the sum is 44.

The square root of 57744593 is about 7598.9863139764. The cubic root of 57744593 is about 386.5186389217.

The spelling of 57744593 in words is "fifty-seven million, seven hundred forty-four thousand, five hundred ninety-three".