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985828864 = 2912715161
BaseRepresentation
bin111010110000101…
…000111000000000
32112201000021222011
4322300220320000
54004333010424
6241453422304
733300256426
oct7260507000
92481007864
10985828864
114665248a9
1223619a994
13129317bb7
1494cdd116
155b832694
hex3ac28e00

985828864 has 40 divisors (see below), whose sum is σ = 1985372928. Its totient is φ = 489000960.

The previous prime is 985828859. The next prime is 985828897. The reversal of 985828864 is 468828589.

It is a junction number, because it is equal to n+sod(n) for n = 985828799 and 985828808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57444 + ... + 72604.

Almost surely, 2985828864 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 985828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992686464).

985828864 is an abundant number, since it is smaller than the sum of its proper divisors (999544064).

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

985828864 is a wasteful number, since it uses less digits than its factorization.

985828864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15306 (or 15290 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 58.

The square root of 985828864 is about 31397.9117776963. The cubic root of 985828864 is about 995.2537971973.

The spelling of 985828864 in words is "nine hundred eighty-five million, eight hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 508 512 1016 2032 4064 8128 15161 16256 30322 32512 60644 65024 121288 242576 485152 970304 1925447 1940608 3850894 3881216 7701788 7762432 15403576 30807152 61614304 123228608 246457216 492914432 985828864