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57248137 is a prime number
BaseRepresentation
bin1101101001100…
…0100110001001
310222201111200101
43122120212021
5104123420022
65403005401
71263413122
oct332304611
9128644611
1057248137
112a351411
1217209861
13bb2554b
147863049
15505c627
hex3698989

57248137 has 2 divisors, whose sum is σ = 57248138. Its totient is φ = 57248136.

The previous prime is 57248111. The next prime is 57248153. The reversal of 57248137 is 73184275.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30735936 + 26512201 = 5544^2 + 5149^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57248137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 57248096 and 57248105.

It is not a weakly prime, because it can be changed into another prime (57248167) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28624068 + 28624069.

It is an arithmetic number, because the mean of its divisors is an integer number (28624069).

Almost surely, 257248137 is an apocalyptic number.

It is an amenable number.

57248137 is a deficient number, since it is larger than the sum of its proper divisors (1).

57248137 is an equidigital number, since it uses as much as digits as its factorization.

57248137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 47040, while the sum is 37.

The square root of 57248137 is about 7566.2498637039. The cubic root of 57248137 is about 385.4077582371.

It can be divided in two parts, 5724 and 8137, that added together give a triangular number (13861 = T166).

The spelling of 57248137 in words is "fifty-seven million, two hundred forty-eight thousand, one hundred thirty-seven".