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12608832 = 263173863
BaseRepresentation
bin110000000110…
…010101000000
3212201121001210
4300012111000
511211440312
61130130120
7212113305
oct60062500
925647053
1012608832
117132225
124280940
1327c6162
1419630ac
151190e3c
hexc06540

12608832 has 56 divisors (see below), whose sum is σ = 35332416. Its totient is φ = 3954688.

The previous prime is 12608803. The next prime is 12608851. The reversal of 12608832 is 23880621.

It is a self number, because there is not a number n which added to its sum of digits gives 12608832.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1333 + ... + 5195.

It is an arithmetic number, because the mean of its divisors is an integer number (630936).

Almost surely, 212608832 is an apocalyptic number.

12608832 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 12608832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17666208).

12608832 is an abundant number, since it is smaller than the sum of its proper divisors (22723584).

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

12608832 is a wasteful number, since it uses less digits than its factorization.

12608832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895 (or 3885 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 12608832 is about 3550.8917189912. The cubic root of 12608832 is about 232.7510342098.

The spelling of 12608832 in words is "twelve million, six hundred eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 3863 7726 11589 15452 23178 30904 46356 61808 65671 92712 123616 131342 185424 197013 247232 262684 370848 394026 525368 741696 788052 1050736 1576104 2101472 3152208 4202944 6304416 12608832