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12891252 = 22311611601
BaseRepresentation
bin110001001011…
…010001110100
3220020221110210
4301023101310
511300010002
61140145420
7214400553
oct61132164
926227423
1012891252
117305430
124398270
13289487a
1419d7d9a
1511e996c
hexc4b474

12891252 has 48 divisors (see below), whose sum is σ = 33372864. Its totient is φ = 3840000.

The previous prime is 12891251. The next prime is 12891259. The reversal of 12891252 is 25219821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12891251) by changing a digit.

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, 7252 + ... + 8852.

It is an arithmetic number, because the mean of its divisors is an integer number (695268).

Almost surely, 212891252 is an apocalyptic number.

12891252 is a gapful number since it is divisible by the number (12) 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 12891252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16686432).

12891252 is an abundant number, since it is smaller than the sum of its proper divisors (20481612).

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

12891252 is a wasteful number, since it uses less digits than its factorization.

12891252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1678 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 12891252 is about 3590.4389703767. The cubic root of 12891252 is about 234.4759834349.

The spelling of 12891252 in words is "twelve million, eight hundred ninety-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 122 132 183 244 366 671 732 1342 1601 2013 2684 3202 4026 4803 6404 8052 9606 17611 19212 35222 52833 70444 97661 105666 195322 211332 292983 390644 585966 1074271 1171932 2148542 3222813 4297084 6445626 12891252