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12983552 = 28411237
BaseRepresentation
bin110001100001…
…110100000000
3220102122002022
4301201310000
511310433202
61142141012
7215233631
oct61416400
926378068
1012983552
11736880a
124421768
1328c789a
141a1d888
151216ea2
hexc61d00

12983552 has 36 divisors (see below), whose sum is σ = 26569956. Its totient is φ = 6328320.

The previous prime is 12983539. The next prime is 12983603. The reversal of 12983552 is 25538921.

It can be written as a sum of positive squares in 2 ways, for example, as 4596736 + 8386816 = 2144^2 + 2896^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9878 + ... + 11114.

Almost surely, 212983552 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 12983552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13284978).

12983552 is an abundant number, since it is smaller than the sum of its proper divisors (13586404).

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

12983552 is an equidigital number, since it uses as much as digits as its factorization.

12983552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1280 counting only the distinct ones).

The product of its digits is 21600, while the sum is 35.

The square root of 12983552 is about 3603.2696263255. The cubic root of 12983552 is about 235.0342608868.

The spelling of 12983552 in words is "twelve million, nine hundred eighty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 1237 1312 2474 2624 4948 5248 9896 10496 19792 39584 50717 79168 101434 158336 202868 316672 405736 811472 1622944 3245888 6491776 12983552