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57049313 is a prime number
BaseRepresentation
bin1101100110100…
…0000011100001
310222100101221112
43121220003201
5104101034223
65354433105
71261624346
oct331500341
9128311845
1057049313
112a225aa2
1217132795
13ba85bb9
1478107cd
15501d778
hex36680e1

57049313 has 2 divisors, whose sum is σ = 57049314. Its totient is φ = 57049312.

The previous prime is 57049277. The next prime is 57049319. The reversal of 57049313 is 31394075.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51955264 + 5094049 = 7208^2 + 2257^2 .

It is a cyclic number.

It is not a de Polignac number, because 57049313 - 218 = 56787169 is a prime.

It is a super-2 number, since 2×570493132 = 6509248227543938, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57049313.

It is not a weakly prime, because it can be changed into another prime (57049319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28524656 + 28524657.

It is an arithmetic number, because the mean of its divisors is an integer number (28524657).

Almost surely, 257049313 is an apocalyptic number.

It is an amenable number.

57049313 is a deficient number, since it is larger than the sum of its proper divisors (1).

57049313 is an equidigital number, since it uses as much as digits as its factorization.

57049313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 57049313 is about 7553.0995624313. The cubic root of 57049313 is about 384.9610642584.

The spelling of 57049313 in words is "fifty-seven million, forty-nine thousand, three hundred thirteen".