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57382049 is a prime number
BaseRepresentation
bin1101101011100…
…1010010100001
310222222022101002
43122321102201
5104142211144
65405521345
71264511414
oct332712241
9128868332
1057382049
112a432a8a
1217273255
13bb7149a
147899b7b
15508714e
hex36b94a1

57382049 has 2 divisors, whose sum is σ = 57382050. Its totient is φ = 57382048.

The previous prime is 57382037. The next prime is 57382051. The reversal of 57382049 is 94028375.

57382049 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., 52823824 + 4558225 = 7268^2 + 2135^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57382049 is a prime.

Together with 57382051, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (57382009) 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, 28691024 + 28691025.

It is an arithmetic number, because the mean of its divisors is an integer number (28691025).

Almost surely, 257382049 is an apocalyptic number.

It is an amenable number.

57382049 is a deficient number, since it is larger than the sum of its proper divisors (1).

57382049 is an equidigital number, since it uses as much as digits as its factorization.

57382049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 57382049 is about 7575.0939928162. The cubic root of 57382049 is about 385.7080331275.

The spelling of 57382049 in words is "fifty-seven million, three hundred eighty-two thousand, forty-nine".