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12809056 = 251341751
BaseRepresentation
bin110000110111…
…001101100000
3220002202201111
4300313031200
511234342211
61134313104
7213606121
oct60671540
926082644
1012809056
1172596a7
124358794
132866330
1419b6048
1511d0421
hexc37360

12809056 has 48 divisors (see below), whose sum is σ = 27857088. Its totient is φ = 5760000.

The previous prime is 12809053. The next prime is 12809057. The reversal of 12809056 is 65090821.

It is a super-2 number, since 2×128090562 = 328143831222272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12809053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16681 + ... + 17431.

It is an arithmetic number, because the mean of its divisors is an integer number (580356).

Almost surely, 212809056 is an apocalyptic number.

12809056 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 12809056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13928544).

12809056 is an abundant number, since it is smaller than the sum of its proper divisors (15048032).

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

12809056 is a wasteful number, since it uses less digits than its factorization.

12809056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 12809056 is about 3578.9741546985. The cubic root of 12809056 is about 233.9765725200.

Adding to 12809056 its reverse (65090821), we get a palindrome (77899877).

The spelling of 12809056 in words is "twelve million, eight hundred nine thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 328 416 533 656 751 1066 1312 1502 2132 3004 4264 6008 8528 9763 12016 17056 19526 24032 30791 39052 61582 78104 123164 156208 246328 312416 400283 492656 800566 985312 1601132 3202264 6404528 12809056