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12933888 = 283111531
BaseRepresentation
bin110001010101…
…101100000000
3220100002221220
4301111230000
511302341023
61141115040
7214636062
oct61255400
926302856
1012933888
117334470
1243b8a80
1328ab0b6
141a09732
1512073e3
hexc55b00

12933888 has 72 divisors (see below), whose sum is σ = 37576896. Its totient is φ = 3916800.

The previous prime is 12933871. The next prime is 12933919. The reversal of 12933888 is 88833921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7683 + ... + 9213.

Almost surely, 212933888 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 12933888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18788448).

12933888 is an abundant number, since it is smaller than the sum of its proper divisors (24643008).

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

12933888 is a wasteful number, since it uses less digits than its factorization.

12933888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1547 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 12933888 is about 3596.3715047253. The cubic root of 12933888 is about 234.7341977361.

The spelling of 12933888 in words is "twelve million, nine hundred thirty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 1531 2112 2816 3062 4224 4593 6124 8448 9186 12248 16841 18372 24496 33682 36744 48992 50523 67364 73488 97984 101046 134728 146976 195968 202092 269456 293952 391936 404184 538912 587904 808368 1077824 1175808 1616736 2155648 3233472 4311296 6466944 12933888