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57288013 is a prime number
BaseRepresentation
bin1101101010001…
…0010101001101
310222210112101021
43122202111031
5104131204023
65403514141
71263640306
oct332422515
9128715337
1057288013
112a379372
1217228951
13bb3a743
1478737ad
15506935d
hex36a254d

57288013 has 2 divisors, whose sum is σ = 57288014. Its totient is φ = 57288012.

The previous prime is 57287999. The next prime is 57288037. The reversal of 57288013 is 31088275.

57288013 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., 42863209 + 14424804 = 6547^2 + 3798^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57288013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57288013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57288043) 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, 28644006 + 28644007.

It is an arithmetic number, because the mean of its divisors is an integer number (28644007).

Almost surely, 257288013 is an apocalyptic number.

It is an amenable number.

57288013 is a deficient number, since it is larger than the sum of its proper divisors (1).

57288013 is an equidigital number, since it uses as much as digits as its factorization.

57288013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 57288013 is about 7568.8845281191. The cubic root of 57288013 is about 385.4972223003.

The spelling of 57288013 in words is "fifty-seven million, two hundred eighty-eight thousand, thirteen".