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18982944 = 2533127173
BaseRepresentation
bin100100001101…
…0100000100000
31022201102201000
41020122200200
514324423234
61514512000
7320231601
oct110324040
938642630
1018982944
11a796192
126435600
133c18516
142741da8
1519ee899
hex121a820

18982944 has 96 divisors (see below), whose sum is σ = 56125440. Its totient is φ = 6241536.

The previous prime is 18982937. The next prime is 18982949. The reversal of 18982944 is 44928981.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 18982944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18982949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109642 + ... + 109814.

It is an arithmetic number, because the mean of its divisors is an integer number (584640).

Almost surely, 218982944 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 18982944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28062720).

18982944 is an abundant number, since it is smaller than the sum of its proper divisors (37142496).

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

18982944 is a wasteful number, since it uses less digits than its factorization.

18982944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 305 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 18982944 is about 4356.9420468948. The cubic root of 18982944 is about 266.7602949005.

The spelling of 18982944 in words is "eighteen million, nine hundred eighty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 127 144 173 216 254 288 346 381 432 508 519 692 762 864 1016 1038 1143 1384 1524 1557 2032 2076 2286 2768 3048 3114 3429 4064 4152 4572 4671 5536 6096 6228 6858 8304 9144 9342 12192 12456 13716 16608 18288 18684 21971 24912 27432 36576 37368 43942 49824 54864 65913 74736 87884 109728 131826 149472 175768 197739 263652 351536 395478 527304 593217 703072 790956 1054608 1186434 1581912 2109216 2372868 3163824 4745736 6327648 9491472 18982944