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58397105 = 513269109
BaseRepresentation
bin1101111011000…
…1000110110001
311001212212202202
43132301012301
5104422201410
65443352545
71306236644
oct336610661
9131785682
1058397105
112aa66678
1217682755
13c138500
147a81a5b
1551d7ca5
hex37b11b1

58397105 has 12 divisors (see below), whose sum is σ = 75882780. Its totient is φ = 43123392.

The previous prime is 58397099. The next prime is 58397107. The reversal of 58397105 is 50179385.

It can be written as a sum of positive squares in 6 ways, for example, as 9634816 + 48762289 = 3104^2 + 6983^2 .

It is not a de Polignac number, because 58397105 - 224 = 41619889 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (58397107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33710 + ... + 35399.

It is an arithmetic number, because the mean of its divisors is an integer number (6323565).

Almost surely, 258397105 is an apocalyptic number.

It is an amenable number.

58397105 is a deficient number, since it is larger than the sum of its proper divisors (17485675).

58397105 is a wasteful number, since it uses less digits than its factorization.

58397105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69140 (or 69127 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 38.

The square root of 58397105 is about 7641.7998534377. The cubic root of 58397105 is about 387.9690719139.

The spelling of 58397105 in words is "fifty-eight million, three hundred ninety-seven thousand, one hundred five".

Divisors: 1 5 13 65 169 845 69109 345545 898417 4492085 11679421 58397105