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14244672 = 263132439
BaseRepresentation
bin110110010101…
…101101000000
3222210201000110
4312111231000
512121312142
61225151320
7232035441
oct66255500
928721013
1014244672
11804a262
12492b540
132c49900
141c6b2c8
1513b599c
hexd95b40

14244672 has 84 divisors (see below), whose sum is σ = 40904160. Its totient is φ = 4372992.

The previous prime is 14244631. The next prime is 14244673. The reversal of 14244672 is 27644241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14244673) 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 11 ways as a sum of consecutive naturals, for example, 32229 + ... + 32667.

Almost surely, 214244672 is an apocalyptic number.

14244672 is a gapful number since it is divisible by the number (12) 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 14244672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20452080).

14244672 is an abundant number, since it is smaller than the sum of its proper divisors (26659488).

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

14244672 is a wasteful number, since it uses less digits than its factorization.

14244672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 457 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 14244672 is about 3774.2114408178. The cubic root of 14244672 is about 242.4101597981.

The spelling of 14244672 in words is "fourteen million, two hundred forty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 169 192 208 312 338 416 439 507 624 676 832 878 1014 1248 1317 1352 1756 2028 2496 2634 2704 3512 4056 5268 5408 5707 7024 8112 10536 10816 11414 14048 16224 17121 21072 22828 28096 32448 34242 42144 45656 68484 74191 84288 91312 136968 148382 182624 222573 273936 296764 365248 445146 547872 593528 890292 1095744 1187056 1780584 2374112 3561168 4748224 7122336 14244672