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12255632 = 242961433
BaseRepresentation
bin101110110000…
…000110010000
3212001122120022
4232300012100
511114140012
61114403012
7206112464
oct56600620
925048508
1012255632
116a10924
124130468
13270146c
1418b04a4
151121472
hexbb0190

12255632 has 40 divisors (see below), whose sum is σ = 25024440. Its totient is φ = 5806080.

The previous prime is 12255631. The next prime is 12255637. The reversal of 12255632 is 23655221.

It can be written as a sum of positive squares in 4 ways, for example, as 173056 + 12082576 = 416^2 + 3476^2 .

It is not an unprimeable number, because it can be changed into a prime (12255631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28088 + ... + 28520.

It is an arithmetic number, because the mean of its divisors is an integer number (625611).

Almost surely, 212255632 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 12255632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12512220).

12255632 is an abundant number, since it is smaller than the sum of its proper divisors (12768808).

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

12255632 is a wasteful number, since it uses less digits than its factorization.

12255632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 525 counting only the distinct ones).

The product of its digits is 3600, while the sum is 26.

The square root of 12255632 is about 3500.8044789734. The cubic root of 12255632 is about 230.5571370504.

The spelling of 12255632 in words is "twelve million, two hundred fifty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 29 58 61 116 122 232 244 433 464 488 866 976 1732 1769 3464 3538 6928 7076 12557 14152 25114 26413 28304 50228 52826 100456 105652 200912 211304 422608 765977 1531954 3063908 6127816 12255632