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55937117 is a prime number
BaseRepresentation
bin1101010101100…
…0100001011101
310220020220022002
43111120201131
5103304441432
65314532045
71246312655
oct325304135
9126226262
1055937117
1129636425
1216897025
13b7868b2
147601365
154d9de62
hex355885d

55937117 has 2 divisors, whose sum is σ = 55937118. Its totient is φ = 55937116.

The previous prime is 55937069. The next prime is 55937149. The reversal of 55937117 is 71173955.

55937117 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., 50395801 + 5541316 = 7099^2 + 2354^2 .

It is a cyclic number.

It is not a de Polignac number, because 55937117 - 28 = 55936861 is a prime.

It is a super-2 number, since 2×559371172 = 6257922116543378, which contains 22 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 (55937617) 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, 27968558 + 27968559.

It is an arithmetic number, because the mean of its divisors is an integer number (27968559).

Almost surely, 255937117 is an apocalyptic number.

It is an amenable number.

55937117 is a deficient number, since it is larger than the sum of its proper divisors (1).

55937117 is an equidigital number, since it uses as much as digits as its factorization.

55937117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 33075, while the sum is 38.

The square root of 55937117 is about 7479.1120462258. The cubic root of 55937117 is about 382.4429795248.

The spelling of 55937117 in words is "fifty-five million, nine hundred thirty-seven thousand, one hundred seventeen".