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57457409 is a prime number
BaseRepresentation
bin1101101100101…
…1101100000001
311000010010202012
43123023230001
5104202114114
65411302305
71265244212
oct333135401
9130103665
1057457409
112a484669
12172aa995
13bb99889
1478b9409
15509e63e
hex36cbb01

57457409 has 2 divisors, whose sum is σ = 57457410. Its totient is φ = 57457408.

The previous prime is 57457397. The next prime is 57457423. The reversal of 57457409 is 90475475.

57457409 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., 57047809 + 409600 = 7553^2 + 640^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57457409 is a prime.

It is not a weakly prime, because it can be changed into another prime (57457109) 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, 28728704 + 28728705.

It is an arithmetic number, because the mean of its divisors is an integer number (28728705).

Almost surely, 257457409 is an apocalyptic number.

It is an amenable number.

57457409 is a deficient number, since it is larger than the sum of its proper divisors (1).

57457409 is an equidigital number, since it uses as much as digits as its factorization.

57457409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 176400, while the sum is 41.

The square root of 57457409 is about 7580.0665564360. The cubic root of 57457409 is about 385.8768097315.

The spelling of 57457409 in words is "fifty-seven million, four hundred fifty-seven thousand, four hundred nine".