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57328013 is a prime number
BaseRepresentation
bin1101101010110…
…0000110001101
310222212120020202
43122230012031
5104133444023
65404423245
71264165031
oct332540615
9128776222
1057328013
112a3a6426
1217247b25
13bb52a02
1478841c1
155076128
hex36ac18d

57328013 has 2 divisors, whose sum is σ = 57328014. Its totient is φ = 57328012.

The previous prime is 57328003. The next prime is 57328043. The reversal of 57328013 is 31082375.

57328013 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., 55026724 + 2301289 = 7418^2 + 1517^2 .

It is a cyclic number.

It is not a de Polignac number, because 57328013 - 210 = 57326989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57328003) 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, 28664006 + 28664007.

It is an arithmetic number, because the mean of its divisors is an integer number (28664007).

Almost surely, 257328013 is an apocalyptic number.

It is an amenable number.

57328013 is a deficient number, since it is larger than the sum of its proper divisors (1).

57328013 is an equidigital number, since it uses as much as digits as its factorization.

57328013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 57328013 is about 7571.5264643267. The cubic root of 57328013 is about 385.5869228655.

The spelling of 57328013 in words is "fifty-seven million, three hundred twenty-eight thousand, thirteen".