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12825936 = 243289069
BaseRepresentation
bin110000111011…
…010101010000
3220010121212200
4300323111100
511240412221
61134523200
7214006254
oct60732520
926117780
1012825936
117270352
124366500
132870c16
1419bc264
1511d5426
hexc3b550

12825936 has 30 divisors (see below), whose sum is σ = 35895210. Its totient is φ = 4275264.

The previous prime is 12825929. The next prime is 12825949. The reversal of 12825936 is 63952821.

It can be written as a sum of positive squares in only one way, i.e., 9000000 + 3825936 = 3000^2 + 1956^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 12825936.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 44391 + ... + 44678.

It is an arithmetic number, because the mean of its divisors is an integer number (1196507).

Almost surely, 212825936 is an apocalyptic number.

12825936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12825936 is an abundant number, since it is smaller than the sum of its proper divisors (23069274).

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

12825936 is a wasteful number, since it uses less digits than its factorization.

12825936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89083 (or 89074 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 12825936 is about 3581.3315959291. The cubic root of 12825936 is about 234.0793068900.

The spelling of 12825936 in words is "twelve million, eight hundred twenty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 89069 178138 267207 356276 534414 712552 801621 1068828 1425104 1603242 2137656 3206484 4275312 6412968 12825936