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13318844 = 2271183521
BaseRepresentation
bin110010110011…
…101010111100
3221001200000112
4302303222330
511402200334
61153245152
7221131310
oct62635274
927050015
1013318844
117577710
1245637b8
1329b4396
141aa9b40
1512814ce
hexcb3abc

13318844 has 48 divisors (see below), whose sum is σ = 29465856. Its totient is φ = 5116800.

The previous prime is 13318843. The next prime is 13318849. The reversal of 13318844 is 44881331.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13318844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13318843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25304 + ... + 25824.

It is an arithmetic number, because the mean of its divisors is an integer number (613872).

Almost surely, 213318844 is an apocalyptic number.

13318844 is a gapful number since it is divisible by the number (14) 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 13318844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14732928).

13318844 is an abundant number, since it is smaller than the sum of its proper divisors (16147012).

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

13318844 is a wasteful number, since it uses less digits than its factorization.

13318844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 624 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 13318844 is about 3649.4991437182. The cubic root of 13318844 is about 237.0402941453.

The spelling of 13318844 in words is "thirteen million, three hundred eighteen thousand, eight hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 83 154 166 308 332 521 581 913 1042 1162 1826 2084 2324 3647 3652 5731 6391 7294 11462 12782 14588 22924 25564 40117 43243 80234 86486 160468 172972 302701 475673 605402 951346 1210804 1902692 3329711 6659422 13318844