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18944016 = 2437134337
BaseRepresentation
bin100100001000…
…1000000010000
31022122110022020
41020101000100
514322202031
61514011440
7320010240
oct110210020
938573266
1018944016
11a769a13
126416b80
133c038a0
142731b20
1519e3096
hex1211010

18944016 has 80 divisors (see below), whose sum is σ = 60246144. Its totient is φ = 4995072.

The previous prime is 18943999. The next prime is 18944017. The reversal of 18944016 is 61044981.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (18944017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2200 + ... + 6536.

Almost surely, 218944016 is an apocalyptic number.

18944016 is a gapful number since it is divisible by the number (16) 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 18944016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30123072).

18944016 is an abundant number, since it is smaller than the sum of its proper divisors (41302128).

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

18944016 is a wasteful number, since it uses less digits than its factorization.

18944016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4368 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 18944016 is about 4352.4724008315. The cubic root of 18944016 is about 266.5778231817.

Adding to 18944016 its reverse (61044981), we get a palindrome (79988997).

The spelling of 18944016 in words is "eighteen million, nine hundred forty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4337 4368 8674 13011 17348 26022 30359 34696 52044 56381 60718 69392 91077 104088 112762 121436 169143 182154 208176 225524 242872 338286 364308 394667 451048 485744 676572 728616 789334 902096 1184001 1353144 1457232 1578668 2368002 2706288 3157336 4736004 6314672 9472008 18944016