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12863488 = 21111571
BaseRepresentation
bin110001000100…
…100000000000
3220012112101111
4301010200000
511243112423
61135413104
7214223611
oct61044000
926175344
1012863488
117296590
124384194
132885041
1419cbc08
1511e160d
hexc44800

12863488 has 48 divisors (see below), whose sum is σ = 28108080. Its totient is φ = 5836800.

The previous prime is 12863483. The next prime is 12863507. The reversal of 12863488 is 88436821.

It is a super-2 number, since 2×128634882 = 330938647052288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12863488.

It is not an unprimeable number, because it can be changed into a prime (12863483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22243 + ... + 22813.

It is an arithmetic number, because the mean of its divisors is an integer number (585585).

Almost surely, 212863488 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 12863488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14054040).

12863488 is an abundant number, since it is smaller than the sum of its proper divisors (15244592).

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

12863488 is an equidigital number, since it uses as much as digits as its factorization.

12863488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 584 counting only the distinct ones).

The product of its digits is 73728, while the sum is 40.

The square root of 12863488 is about 3586.5705067655. The cubic root of 12863488 is about 234.3075314659.

It can be divided in two parts, 1286 and 3488, that added together give a palindrome (4774).

The spelling of 12863488 in words is "twelve million, eight hundred sixty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 571 704 1024 1142 1408 2048 2284 2816 4568 5632 6281 9136 11264 12562 18272 22528 25124 36544 50248 73088 100496 146176 200992 292352 401984 584704 803968 1169408 1607936 3215872 6431744 12863488