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12938625 = 325373153
BaseRepresentation
bin110001010110…
…110110000001
3220100100110100
4301112312001
511303014000
61141153013
7214655640
oct61266601
926310410
1012938625
117337a87
1243bb769
1328b02bb
141a0b357
151208a00
hexc56d81

12938625 has 96 divisors (see below), whose sum is σ = 28035072. Its totient is φ = 5616000.

The previous prime is 12938623. The next prime is 12938663. The reversal of 12938625 is 52683921.

12938625 is a `hidden beast` number, since 1 + 29 + 3 + 8 + 625 = 666.

It is not a de Polignac number, because 12938625 - 21 = 12938623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12938625.

It is not an unprimeable number, because it can be changed into a prime (12938623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 244099 + ... + 244151.

It is an arithmetic number, because the mean of its divisors is an integer number (292032).

Almost surely, 212938625 is an apocalyptic number.

12938625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12938625 is an abundant number, since it is smaller than the sum of its proper divisors (15096447).

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

12938625 is a wasteful number, since it uses less digits than its factorization.

12938625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 99 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 12938625 is about 3597.0300248955. The cubic root of 12938625 is about 234.7628511510.

The spelling of 12938625 in words is "twelve million, nine hundred thirty-eight thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 31 35 45 53 63 75 93 105 125 155 159 175 217 225 265 279 315 371 375 465 477 525 651 775 795 875 1085 1113 1125 1325 1395 1575 1643 1855 1953 2325 2385 2625 3255 3339 3875 3975 4929 5425 5565 6625 6975 7875 8215 9275 9765 11501 11625 11925 14787 16275 16695 19875 24645 27125 27825 34503 34875 41075 46375 48825 57505 59625 73935 81375 83475 103509 123225 139125 172515 205375 244125 287525 369675 417375 517545 616125 862575 1437625 1848375 2587725 4312875 12938625