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13944624 = 2431723743
BaseRepresentation
bin110101001100…
…011100110000
3222020110102120
4311030130300
512032211444
61214514240
7226345611
oct65143460
928213376
1013944624
117964891
124805980
132b73175
141bcdc08
151356b19
hexd4c730

13944624 has 80 divisors (see below), whose sum is σ = 39854592. Its totient is φ = 4178944.

The previous prime is 13944617. The next prime is 13944629. The reversal of 13944624 is 42644931.

It is not an unprimeable number, because it can be changed into a prime (13944629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18397 + ... + 19139.

Almost surely, 213944624 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 13944624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19927296).

13944624 is an abundant number, since it is smaller than the sum of its proper divisors (25909968).

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

13944624 is a wasteful number, since it uses less digits than its factorization.

13944624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 788 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 13944624 is about 3734.2501255272. The cubic root of 13944624 is about 240.6960350011.

The spelling of 13944624 in words is "thirteen million, nine hundred forty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 136 138 184 204 272 276 368 391 408 552 743 782 816 1104 1173 1486 1564 2229 2346 2972 3128 4458 4692 5944 6256 8916 9384 11888 12631 17089 17832 18768 25262 34178 35664 37893 50524 51267 68356 75786 101048 102534 136712 151572 202096 205068 273424 290513 303144 410136 581026 606288 820272 871539 1162052 1743078 2324104 3486156 4648208 6972312 13944624