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57005279 is a prime number
BaseRepresentation
bin1101100101110…
…1010011011111
310222021011112122
43121131103133
5104043132104
65353453155
71261352102
oct331352337
9128234478
1057005279
112a1a5a01
12171111bb
13ba6bb46
1477dc739
1550106be
hex365d4df

57005279 has 2 divisors, whose sum is σ = 57005280. Its totient is φ = 57005278.

The previous prime is 57005257. The next prime is 57005281. The reversal of 57005279 is 97250075.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57005279 is a prime.

It is a super-3 number, since 3×570052793 (a number of 24 digits) contains 333 as substring.

Together with 57005281, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p3394745 and since 57005279 and 3394745 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57005209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28502639 + 28502640.

It is an arithmetic number, because the mean of its divisors is an integer number (28502640).

Almost surely, 257005279 is an apocalyptic number.

57005279 is a deficient number, since it is larger than the sum of its proper divisors (1).

57005279 is an equidigital number, since it uses as much as digits as its factorization.

57005279 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22050, while the sum is 35.

The square root of 57005279 is about 7550.1840374921. The cubic root of 57005279 is about 384.8619936015.

The spelling of 57005279 in words is "fifty-seven million, five thousand, two hundred seventy-nine".