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12428704 = 252959227
BaseRepresentation
bin101111011010…
…010110100000
3212101102222101
4233122112200
511140204304
61122220144
7210433201
oct57322640
925342871
1012428704
117019962
1241b4654
132762182
1419175a8
1511578a4
hexbda5a0

12428704 has 48 divisors (see below), whose sum is σ = 25855200. Its totient is φ = 5872384.

The previous prime is 12428693. The next prime is 12428711. The reversal of 12428704 is 40782421.

12428704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54639 + ... + 54865.

It is an arithmetic number, because the mean of its divisors is an integer number (538650).

Almost surely, 212428704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12428704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12927600).

12428704 is an abundant number, since it is smaller than the sum of its proper divisors (13426496).

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

12428704 is a wasteful number, since it uses less digits than its factorization.

12428704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 12428704 is about 3525.4367105367. The cubic root of 12428704 is about 231.6373645001.

The spelling of 12428704 in words is "twelve million, four hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 16 29 32 58 59 116 118 227 232 236 454 464 472 908 928 944 1711 1816 1888 3422 3632 6583 6844 7264 13166 13393 13688 26332 26786 27376 52664 53572 54752 105328 107144 210656 214288 388397 428576 776794 1553588 3107176 6214352 12428704