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14881984 = 261331577
BaseRepresentation
bin111000110001…
…010011000000
31001000002020121
4320301103000
512302210414
61250550024
7240331465
oct70612300
931002217
1014881984
118445067
124b98314
133110a10
141d9566c
15148e724
hexe314c0

14881984 has 56 divisors (see below), whose sum is σ = 32885888. Its totient is φ = 6635520.

The previous prime is 14881981. The next prime is 14882003. The reversal of 14881984 is 48918841.

It is a self number, because there is not a number n which added to its sum of digits gives 14881984.

It is not an unprimeable number, because it can be changed into a prime (14881981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25504 + ... + 26080.

It is an arithmetic number, because the mean of its divisors is an integer number (587248).

Almost surely, 214881984 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 14881984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16442944).

14881984 is an abundant number, since it is smaller than the sum of its proper divisors (18003904).

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

14881984 is a wasteful number, since it uses less digits than its factorization.

14881984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 623 counting only the distinct ones).

The product of its digits is 73728, while the sum is 43.

The square root of 14881984 is about 3857.7174598459. The cubic root of 14881984 is about 245.9727204421.

The spelling of 14881984 in words is "fourteen million, eight hundred eighty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 208 248 403 416 496 577 806 832 992 1154 1612 1984 2308 3224 4616 6448 7501 9232 12896 15002 17887 18464 25792 30004 35774 36928 60008 71548 120016 143096 232531 240032 286192 465062 480064 572384 930124 1144768 1860248 3720496 7440992 14881984