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57002761 is a prime number
BaseRepresentation
bin1101100101110…
…0101100001001
310222021001002101
43121130230021
5104043042021
65353433401
71261341544
oct331345411
9128231071
1057002761
112a1a4022
121710b861
13ba6a95a
1477db85b
15500ea91
hex365cb09

57002761 has 2 divisors, whose sum is σ = 57002762. Its totient is φ = 57002760.

The previous prime is 57002747. The next prime is 57002773. The reversal of 57002761 is 16720075.

57002761 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., 45306361 + 11696400 = 6731^2 + 3420^2 .

It is a cyclic number.

It is not a de Polignac number, because 57002761 - 27 = 57002633 is a prime.

It is not a weakly prime, because it can be changed into another prime (57002741) 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, 28501380 + 28501381.

It is an arithmetic number, because the mean of its divisors is an integer number (28501381).

Almost surely, 257002761 is an apocalyptic number.

It is an amenable number.

57002761 is a deficient number, since it is larger than the sum of its proper divisors (1).

57002761 is an equidigital number, since it uses as much as digits as its factorization.

57002761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 57002761 is about 7550.0172847484. The cubic root of 57002761 is about 384.8563268938.

The spelling of 57002761 in words is "fifty-seven million, two thousand, seven hundred sixty-one".