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12828608 = 261317907
BaseRepresentation
bin110000111011…
…111111000000
3220010202112122
4300323333000
511241003413
61134543412
7214020122
oct60737700
926122478
1012828608
117272361
124367b68
1328721c0
1419bd212
1511d6108
hexc3bfc0

12828608 has 56 divisors (see below), whose sum is σ = 29059632. Its totient is φ = 5566464.

The previous prime is 12828601. The next prime is 12828611. The reversal of 12828608 is 80682821.

It is a super-3 number, since 3×128286083 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12828601) by changing a digit.

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, 13691 + ... + 14597.

It is an arithmetic number, because the mean of its divisors is an integer number (518922).

Almost surely, 212828608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12828608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14529816).

12828608 is an abundant number, since it is smaller than the sum of its proper divisors (16231024).

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

12828608 is a wasteful number, since it uses less digits than its factorization.

12828608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 12828608 is about 3581.7046221038. The cubic root of 12828608 is about 234.0955608430.

The spelling of 12828608 in words is "twelve million, eight hundred twenty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 832 884 907 1088 1768 1814 3536 3628 7072 7256 11791 14144 14512 15419 23582 29024 30838 47164 58048 61676 94328 123352 188656 200447 246704 377312 400894 493408 754624 801788 986816 1603576 3207152 6414304 12828608