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12262864 = 242347709
BaseRepresentation
bin101110110001…
…110111010000
3212002000111011
4232301313100
511114402424
61114500304
7206142535
oct56616720
925060434
1012262864
116a162a9
124134694
132704843
1418b2d8c
151123694
hexbb1dd0

12262864 has 40 divisors (see below), whose sum is σ = 25355520. Its totient is φ = 5731968.

The previous prime is 12262829. The next prime is 12262883. The reversal of 12262864 is 46826221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16942 + ... + 17650.

It is an arithmetic number, because the mean of its divisors is an integer number (633888).

Almost surely, 212262864 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 12262864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12677760).

12262864 is an abundant number, since it is smaller than the sum of its proper divisors (13092656).

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

12262864 is a wasteful number, since it uses less digits than its factorization.

12262864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 781 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 12262864 is about 3501.8372320826. The cubic root of 12262864 is about 230.6024784180.

The spelling of 12262864 in words is "twelve million, two hundred sixty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 23 46 47 92 94 184 188 368 376 709 752 1081 1418 2162 2836 4324 5672 8648 11344 16307 17296 32614 33323 65228 66646 130456 133292 260912 266584 533168 766429 1532858 3065716 6131432 12262864