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23125928 = 237503821
BaseRepresentation
bin101100000110…
…1111110101000
31121111220210212
41120031332220
521410012203
62143400252
7400365350
oct130157650
947456725
1023125928
1112065941
1278b3088
134a391a7
1430ddb60
15206c1d8
hex160dfa8

23125928 has 32 divisors (see below), whose sum is σ = 49714560. Its totient is φ = 9879360.

The previous prime is 23125919. The next prime is 23125937. The reversal of 23125928 is 82952132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23125919) and next prime (23125937).

It is a super-2 number, since 2×231259282 = 1069617091722368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 23125894 and 23125903.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 27758 + ... + 28578.

It is an arithmetic number, because the mean of its divisors is an integer number (1553580).

Almost surely, 223125928 is an apocalyptic number.

23125928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

23125928 is an abundant number, since it is smaller than the sum of its proper divisors (26588632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23125928 is a wasteful number, since it uses less digits than its factorization.

23125928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1333 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

The square root of 23125928 is about 4808.9425032953. The cubic root of 23125928 is about 284.9047717138.

The spelling of 23125928 in words is "twenty-three million, one hundred twenty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 56 503 821 1006 1642 2012 3284 3521 4024 5747 6568 7042 11494 14084 22988 28168 45976 412963 825926 1651852 2890741 3303704 5781482 11562964 23125928