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12252928 = 28232081
BaseRepresentation
bin101110101111…
…011100000000
3212001111212011
4232233130000
511114043203
61114342304
7206101552
oct56573400
925044764
1012252928
116a09896
12412a994
13270016c
1418ad4d2
15112076d
hexbaf700

12252928 has 36 divisors (see below), whose sum is σ = 25533648. Its totient is φ = 5857280.

The previous prime is 12252923. The next prime is 12252941. The reversal of 12252928 is 82925221.

12252928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12252928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12252923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4848 + ... + 6928.

It is an arithmetic number, because the mean of its divisors is an integer number (709268).

Almost surely, 212252928 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 12252928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12766824).

12252928 is an abundant number, since it is smaller than the sum of its proper divisors (13280720).

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

12252928 is an equidigital number, since it uses as much as digits as its factorization.

12252928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2106 counting only the distinct ones).

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

The square root of 12252928 is about 3500.4182607226. The cubic root of 12252928 is about 230.5401796125.

The spelling of 12252928 in words is "twelve million, two hundred fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 736 1472 2081 2944 4162 5888 8324 16648 33296 47863 66592 95726 133184 191452 266368 382904 532736 765808 1531616 3063232 6126464 12252928