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57264149 is a prime number
BaseRepresentation
bin1101101001110…
…0100000010101
310222202022122102
43122130200111
5104124423044
65403211445
71263510605
oct332344025
9128668572
1057264149
112a362448
1217216b85
13bb2c917
147868c05
15506224e
hex369c815

57264149 has 2 divisors, whose sum is σ = 57264150. Its totient is φ = 57264148.

The previous prime is 57264091. The next prime is 57264169. The reversal of 57264149 is 94146275.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35343025 + 21921124 = 5945^2 + 4682^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57264149 is a prime.

It is a super-3 number, since 3×572641493 (a number of 24 digits) contains 333 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57264169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28632074 + 28632075.

It is an arithmetic number, because the mean of its divisors is an integer number (28632075).

Almost surely, 257264149 is an apocalyptic number.

It is an amenable number.

57264149 is a deficient number, since it is larger than the sum of its proper divisors (1).

57264149 is an equidigital number, since it uses as much as digits as its factorization.

57264149 is an evil number, because the sum of its binary digits is even.

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

The square root of 57264149 is about 7567.3079096862. The cubic root of 57264149 is about 385.4436870556.

The spelling of 57264149 in words is "fifty-seven million, two hundred sixty-four thousand, one hundred forty-nine".