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12629952 = 26337309
BaseRepresentation
bin110000001011…
…011111000000
3212202200001000
4300023133000
511213124302
61130412000
7212232006
oct60133700
925680030
1012629952
117147085
124291000
13280295a
14196aa76
15119731c
hexc0b7c0

12629952 has 56 divisors (see below), whose sum is σ = 37134800. Its totient is φ = 4209408.

The previous prime is 12629951. The next prime is 12629971. The reversal of 12629952 is 25992621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12629951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1927 + ... + 5382.

Almost surely, 212629952 is an apocalyptic number.

12629952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12629952 is an abundant number, since it is smaller than the sum of its proper divisors (24504848).

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

12629952 is an equidigital number, since it uses as much as digits as its factorization.

12629952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7330 (or 7314 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 12629952 is about 3553.8643755777. The cubic root of 12629952 is about 232.8809156497.

The spelling of 12629952 in words is "twelve million, six hundred twenty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 7309 14618 21927 29236 43854 58472 65781 87708 116944 131562 175416 197343 233888 263124 350832 394686 467776 526248 701664 789372 1052496 1403328 1578744 2104992 3157488 4209984 6314976 12629952