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18984016 = 242379653
BaseRepresentation
bin100100001101…
…0110001010000
31022201111011201
41020122301100
514324442031
61514520544
7320234662
oct110326120
938644151
1018984016
11a796a77
126436154
133c18b5c
142742532
1519eed61
hex121ac50

18984016 has 40 divisors (see below), whose sum is σ = 38926080. Its totient is φ = 8950656.

The previous prime is 18984013. The next prime is 18984029. The reversal of 18984016 is 61048981.

It is a happy number.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18984011) 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, 28746 + ... + 29398.

It is an arithmetic number, because the mean of its divisors is an integer number (973152).

Almost surely, 218984016 is an apocalyptic number.

18984016 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 18984016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19463040).

18984016 is an abundant number, since it is smaller than the sum of its proper divisors (19942064).

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

18984016 is a wasteful number, since it uses less digits than its factorization.

18984016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 18984016 is about 4357.0650672213. The cubic root of 18984016 is about 266.7653162792.

The spelling of 18984016 in words is "eighteen million, nine hundred eighty-four thousand, sixteen".

Divisors: 1 2 4 8 16 23 46 79 92 158 184 316 368 632 653 1264 1306 1817 2612 3634 5224 7268 10448 14536 15019 29072 30038 51587 60076 103174 120152 206348 240304 412696 825392 1186501 2373002 4746004 9492008 18984016