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807475968 = 28321326959
BaseRepresentation
bin110000001000010…
…001101100000000
32002021102000210100
4300020101230000
53123203212333
6212043002400
726003301225
oct6010215400
92067360710
10807475968
11384887712
121a6509400
13cb39c940
147935394c
154ad52213
hex30211b00

807475968 has 108 divisors (see below), whose sum is σ = 2507333920. Its totient is φ = 248444928.

The previous prime is 807475957. The next prime is 807475987. The reversal of 807475968 is 869574708.

807475968 is a `hidden beast` number, since 8 + 0 + 7 + 47 + 596 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16473 + ... + 43431.

Almost surely, 2807475968 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 807475968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253666960).

807475968 is an abundant number, since it is smaller than the sum of its proper divisors (1699857952).

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

807475968 is a wasteful number, since it uses less digits than its factorization.

807475968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26994 (or 26977 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 807475968 is about 28416.1216213614. The cubic root of 807475968 is about 931.2005030642.

The spelling of 807475968 in words is "eight hundred seven million, four hundred seventy-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 26959 29952 53918 80877 107836 161754 215672 242631 323508 350467 431344 485262 647016 700934 862688 970524 1051401 1294032 1401868 1725376 1941048 2102802 2588064 2803736 3154203 3450752 3882096 4205604 5176128 5607472 6308406 6901504 7764192 8411208 10352256 11214944 12616812 15528384 16822416 20704512 22429888 25233624 31056768 33644832 44859776 50467248 62113536 67289664 89719552 100934496 134579328 201868992 269158656 403737984 807475968