Search a number
-
+
12982256 = 247229571
BaseRepresentation
bin110001100001…
…011111110000
3220102120022022
4301201133300
511310413011
61142131012
7215230100
oct61413760
926376268
1012982256
117367841
124420a68
1328c7111
141a1d200
1512168db
hexc617f0

12982256 has 60 divisors (see below), whose sum is σ = 30321720. Its totient is φ = 5362560.

The previous prime is 12982253. The next prime is 12982261. The reversal of 12982256 is 65228921.

It is a happy number.

12982256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12982253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22451 + ... + 23021.

It is an arithmetic number, because the mean of its divisors is an integer number (505362).

Almost surely, 212982256 is an apocalyptic number.

12982256 is a gapful number since it is divisible by the number (16) 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 12982256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15160860).

12982256 is an abundant number, since it is smaller than the sum of its proper divisors (17339464).

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

12982256 is a wasteful number, since it uses less digits than its factorization.

12982256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 609 counting only the distinct ones).

The product of its digits is 17280, while the sum is 35.

The square root of 12982256 is about 3603.0897851705. The cubic root of 12982256 is about 235.0264403629.

The spelling of 12982256 in words is "twelve million, nine hundred eighty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 196 203 232 392 406 464 571 784 812 1142 1421 1624 2284 2842 3248 3997 4568 5684 7994 9136 11368 15988 16559 22736 27979 31976 33118 55958 63952 66236 111916 115913 132472 223832 231826 264944 447664 463652 811391 927304 1622782 1854608 3245564 6491128 12982256