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18884712 = 2337112929
BaseRepresentation
bin100100000001…
…0100001101000
31022112102221210
41020002201220
514313302322
61512433120
7316342320
oct110024150
938472853
1018884712
11a729400
1263a87a0
133bb28b2
142718280
1519d070c
hex1202868

18884712 has 96 divisors (see below), whose sum is σ = 59371200. Its totient is φ = 4899840.

The previous prime is 18884699. The next prime is 18884731. The reversal of 18884712 is 21748881.

It is a happy number.

It is a super-3 number, since 3×188847123 (a number of 23 digits) contains 333 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 19864 + ... + 20792.

It is an arithmetic number, because the mean of its divisors is an integer number (618450).

Almost surely, 218884712 is an apocalyptic number.

18884712 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 18884712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29685600).

18884712 is an abundant number, since it is smaller than the sum of its proper divisors (40486488).

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

18884712 is a wasteful number, since it uses less digits than its factorization.

18884712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 952 counting only the distinct ones).

The product of its digits is 28672, while the sum is 39.

The square root of 18884712 is about 4345.6543811030. The cubic root of 18884712 is about 266.2993595807.

The spelling of 18884712 in words is "eighteen million, eight hundred eighty-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 231 242 264 308 363 462 484 616 726 847 924 929 968 1452 1694 1848 1858 2541 2787 2904 3388 3716 5082 5574 6503 6776 7432 10164 10219 11148 13006 19509 20328 20438 22296 26012 30657 39018 40876 52024 61314 71533 78036 81752 112409 122628 143066 156072 214599 224818 245256 286132 337227 429198 449636 572264 674454 786863 858396 899272 1348908 1573726 1716792 2360589 2697816 3147452 4721178 6294904 9442356 18884712