Search a number
-
+
12825504 = 253244533
BaseRepresentation
bin110000111011…
…001110100000
3220010121021200
4300323032200
511240404004
61134521200
7214005066
oct60731640
926117250
1012825504
11726aa9a
124366200
132870973
1419bc036
1511d5239
hexc3b3a0

12825504 has 36 divisors (see below), whose sum is σ = 36473346. Its totient is φ = 4275072.

The previous prime is 12825493. The next prime is 12825517. The reversal of 12825504 is 40552821.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10575504 + 2250000 = 3252^2 + 1500^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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, 21979 + ... + 22554.

Almost surely, 212825504 is an apocalyptic number.

It is an amenable number.

12825504 is an abundant number, since it is smaller than the sum of its proper divisors (23647842).

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

12825504 is a wasteful number, since it uses less digits than its factorization.

12825504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44549 (or 44538 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 12825504 is about 3581.2712826593. The cubic root of 12825504 is about 234.0766787935.

It can be divided in two parts, 1282 and 5504, that added together give a triangular number (6786 = T116).

The spelling of 12825504 in words is "twelve million, eight hundred twenty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 44533 89066 133599 178132 267198 356264 400797 534396 712528 801594 1068792 1425056 1603188 2137584 3206376 4275168 6412752 12825504