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57594241 is a prime number
BaseRepresentation
bin1101101110110…
…1000110000001
311000101002110001
43123231012001
5104221003431
65414240001
71266354145
oct333550601
9130332401
1057594241
112a568451
1217356001
13bc16c43
147913225
1550c9e61
hex36ed181

57594241 has 2 divisors, whose sum is σ = 57594242. Its totient is φ = 57594240.

The previous prime is 57594227. The next prime is 57594247. The reversal of 57594241 is 14249575.

57594241 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., 56190016 + 1404225 = 7496^2 + 1185^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57594241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57594241.

It is not a weakly prime, because it can be changed into another prime (57594247) 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, 28797120 + 28797121.

It is an arithmetic number, because the mean of its divisors is an integer number (28797121).

Almost surely, 257594241 is an apocalyptic number.

It is an amenable number.

57594241 is a deficient number, since it is larger than the sum of its proper divisors (1).

57594241 is an equidigital number, since it uses as much as digits as its factorization.

57594241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 50400, while the sum is 37.

The square root of 57594241 is about 7589.0869674817. The cubic root of 57594241 is about 386.1828824564.

It can be divided in two parts, 5759 and 4241, that added together give a 4-th power (10000 = 104).

The spelling of 57594241 in words is "fifty-seven million, five hundred ninety-four thousand, two hundred forty-one".