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12625872 = 243753709
BaseRepresentation
bin110000001010…
…011111010000
3212202110102220
4300022133100
511213011442
61130341040
7212214060
oct60123720
925673386
1012625872
117144006
12428a780
132800b3c
1419693a0
151195eec
hexc0a7d0

12625872 has 80 divisors (see below), whose sum is σ = 38033280. Its totient is φ = 3534336.

The previous prime is 12625871. The next prime is 12625903. The reversal of 12625872 is 27852621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12625871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17454 + ... + 18162.

It is an arithmetic number, because the mean of its divisors is an integer number (475416).

Almost surely, 212625872 is an apocalyptic number.

12625872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12625872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19016640).

12625872 is an abundant number, since it is smaller than the sum of its proper divisors (25407408).

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

12625872 is a wasteful number, since it uses less digits than its factorization.

12625872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 774 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 12625872 is about 3553.2903061810. The cubic root of 12625872 is about 232.8558362071.

The spelling of 12625872 in words is "twelve million, six hundred twenty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 424 636 709 742 848 1113 1272 1418 1484 2127 2226 2544 2836 2968 4254 4452 4963 5672 5936 8508 8904 9926 11344 14889 17016 17808 19852 29778 34032 37577 39704 59556 75154 79408 112731 119112 150308 225462 238224 263039 300616 450924 526078 601232 789117 901848 1052156 1578234 1803696 2104312 3156468 4208624 6312936 12625872