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12792256 = 261011979
BaseRepresentation
bin110000110011…
…000111000000
3220001220200021
4300303013000
511233323011
61134103224
7213506131
oct60630700
926056607
1012792256
117248014
12434ab14
13285b7a9
1419adc88
1511ca471
hexc331c0

12792256 has 28 divisors (see below), whose sum is σ = 25648920. Its totient is φ = 6329600.

The previous prime is 12792253. The next prime is 12792257. The reversal of 12792256 is 65229721.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12792251) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5475 + ... + 7453.

Almost surely, 212792256 is an apocalyptic number.

12792256 is a gapful number since it is divisible by the number (16) 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 12792256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12824460).

12792256 is an abundant number, since it is smaller than the sum of its proper divisors (12856664).

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

12792256 is a wasteful number, since it uses less digits than its factorization.

12792256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2082 counting only the distinct ones).

The product of its digits is 15120, while the sum is 34.

The square root of 12792256 is about 3576.6263433577. The cubic root of 12792256 is about 233.8742353875.

The spelling of 12792256 in words is "twelve million, seven hundred ninety-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 101 202 404 808 1616 1979 3232 3958 6464 7916 15832 31664 63328 126656 199879 399758 799516 1599032 3198064 6396128 12792256