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58956109 is a prime number
BaseRepresentation
bin1110000011100…
…1100101001101
311002221021120121
43200321211031
5110043043414
65503344541
71314055462
oct340714515
9132837517
1058956109
1130308663
12178b2151
13c2a2a94
147b89669
155298724
hex383994d

58956109 has 2 divisors, whose sum is σ = 58956110. Its totient is φ = 58956108.

The previous prime is 58956091. The next prime is 58956113. The reversal of 58956109 is 90165985.

It is a happy number.

58956109 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (58956091) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31393609 + 27562500 = 5603^2 + 5250^2 .

It is a cyclic number.

It is not a de Polignac number, because 58956109 - 29 = 58955597 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58957109) 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, 29478054 + 29478055.

It is an arithmetic number, because the mean of its divisors is an integer number (29478055).

Almost surely, 258956109 is an apocalyptic number.

It is an amenable number.

58956109 is a deficient number, since it is larger than the sum of its proper divisors (1).

58956109 is an equidigital number, since it uses as much as digits as its factorization.

58956109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 97200, while the sum is 43.

The square root of 58956109 is about 7678.2881555722. The cubic root of 58956109 is about 389.2030823254.

The spelling of 58956109 in words is "fifty-eight million, nine hundred fifty-six thousand, one hundred nine".