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93125929 = 1323753281
BaseRepresentation
bin1011000110011…
…11110100101001
320111020021202111
411203033310221
5142320012204
613124002321
72210362111
oct543176451
9214207674
1093125929
1148626986
12272303a1
13163a7a00
14c522041
158297d04
hex58cfd29

93125929 has 24 divisors (see below), whose sum is σ = 105895512. Its totient is φ = 81768960.

The previous prime is 93125927. The next prime is 93125947. The reversal of 93125929 is 92952139.

It can be written as a sum of positive squares in 12 ways, for example, as 11042329 + 82083600 = 3323^2 + 9060^2 .

It is not a de Polignac number, because 93125929 - 21 = 93125927 is a prime.

It is a super-2 number, since 2×931259292 = 17344877304226082, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 93125891 and 93125900.

It is not an unprimeable number, because it can be changed into a prime (93125927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331269 + ... + 331549.

It is an arithmetic number, because the mean of its divisors is an integer number (4412313).

Almost surely, 293125929 is an apocalyptic number.

It is an amenable number.

93125929 is a deficient number, since it is larger than the sum of its proper divisors (12769583).

93125929 is a wasteful number, since it uses less digits than its factorization.

93125929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 384 counting only the distinct ones).

The product of its digits is 43740, while the sum is 40.

The square root of 93125929 is about 9650.1776667583. The cubic root of 93125929 is about 453.2698923021.

The spelling of 93125929 in words is "ninety-three million, one hundred twenty-five thousand, nine hundred twenty-nine".

Divisors: 1 13 37 53 169 281 481 689 1961 3653 6253 8957 10397 14893 25493 47489 135161 193609 331409 551041 1757093 2516917 7163533 93125929