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987016992 = 25313790879
BaseRepresentation
bin111010110101001…
…010111100100000
32112210020122202220
4322311022330200
54010134020432
6241535111040
733313335363
oct7265127440
92483218686
10987016992
11467166525
12236672480
13129642930
149512c0da
155b9b972c
hex3ad4af20

987016992 has 48 divisors (see below), whose sum is σ = 2790224640. Its totient is φ = 303697152.

The previous prime is 987016951. The next prime is 987017051. The reversal of 987016992 is 299610789.

It is a happy number.

987016992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394192 + ... + 396687.

It is an arithmetic number, because the mean of its divisors is an integer number (58129680).

Almost surely, 2987016992 is an apocalyptic number.

It is an amenable number.

987016992 is an abundant number, since it is smaller than the sum of its proper divisors (1803207648).

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

987016992 is a wasteful number, since it uses less digits than its factorization.

987016992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790905 (or 790897 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The square root of 987016992 is about 31416.8265743057. The cubic root of 987016992 is about 995.6534656782.

It can be divided in two parts, 9870 and 16992, that added together give a palindrome (26862).

The spelling of 987016992 in words is "nine hundred eighty-seven million, sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 790879 1581758 2372637 3163516 4745274 6327032 9490548 10281427 12654064 18981096 20562854 25308128 30844281 37962192 41125708 61688562 75924384 82251416 123377124 164502832 246754248 329005664 493508496 987016992