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12825904 = 2471323383
BaseRepresentation
bin110000111011…
…010100110000
3220010121211111
4300323110300
511240412104
61134523104
7214006210
oct60732460
926117744
1012825904
117270323
124366494
132870bc0
1419bc240
1511d5404
hexc3b530

12825904 has 80 divisors (see below), whose sum is σ = 31997952. Its totient is φ = 4840704.

The previous prime is 12825853. The next prime is 12825913. The reversal of 12825904 is 40952821.

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 15 ways as a sum of consecutive naturals, for example, 33297 + ... + 33679.

Almost surely, 212825904 is an apocalyptic number.

12825904 is a gapful number since it is divisible by the number (14) 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 12825904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15998976).

12825904 is an abundant number, since it is smaller than the sum of its proper divisors (19172048).

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

12825904 is a wasteful number, since it uses less digits than its factorization.

12825904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 12825904 is about 3581.3271283143. The cubic root of 12825904 is about 234.0791122182.

The spelling of 12825904 in words is "twelve million, eight hundred twenty-five thousand, nine hundred four".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 46 52 56 91 92 104 112 161 182 184 208 299 322 364 368 383 598 644 728 766 1196 1288 1456 1532 2093 2392 2576 2681 3064 4186 4784 4979 5362 6128 8372 8809 9958 10724 16744 17618 19916 21448 33488 34853 35236 39832 42896 61663 69706 70472 79664 114517 123326 139412 140944 229034 246652 278824 458068 493304 557648 801619 916136 986608 1603238 1832272 3206476 6412952 12825904