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12252688 = 247313529
BaseRepresentation
bin101110101111…
…011000010000
3212001111112021
4232233120100
511114041223
61114341224
7206101060
oct56573020
925044467
1012252688
116a09698
12412a814
132700016
1418ad3a0
15112065d
hexbaf610

12252688 has 40 divisors (see below), whose sum is σ = 28014080. Its totient is φ = 5080320.

The previous prime is 12252673. The next prime is 12252689. The reversal of 12252688 is 88625221.

12252688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12252689) 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, 1708 + ... + 5236.

It is an arithmetic number, because the mean of its divisors is an integer number (700352).

Almost surely, 212252688 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 12252688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14007040).

12252688 is an abundant number, since it is smaller than the sum of its proper divisors (15761392).

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

12252688 is a wasteful number, since it uses less digits than its factorization.

12252688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3575 (or 3569 counting only the distinct ones).

The product of its digits is 15360, while the sum is 34.

The square root of 12252688 is about 3500.3839789372. The cubic root of 12252688 is about 230.5386743940.

The spelling of 12252688 in words is "twelve million, two hundred fifty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 3472 3529 7058 14116 24703 28232 49406 56464 98812 109399 197624 218798 395248 437596 765793 875192 1531586 1750384 3063172 6126344 12252688