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804904992 = 25335931571
BaseRepresentation
bin101111111110011…
…110000000100000
32002002120102002000
4233332132000200
53122023424432
6211511524000
725642402533
oct5776360040
92062512060
10804904992
11383391041
121a5689600
13ca9ac658
1478c84a1a
154a9e557c
hex2ff9e020

804904992 has 96 divisors (see below), whose sum is σ = 2353095360. Its totient is φ = 267678720.

The previous prime is 804904981. The next prime is 804905027. The reversal of 804904992 is 299409408.

804904992 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 (96).

It is a super-2 number, since 2×8049049922 = 1295744092293040128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511567 + ... + 513137.

It is an arithmetic number, because the mean of its divisors is an integer number (24511410).

Almost surely, 2804904992 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 804904992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176547680).

804904992 is an abundant number, since it is smaller than the sum of its proper divisors (1548190368).

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

804904992 is a wasteful number, since it uses less digits than its factorization.

804904992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 804904992 is about 28370.8475728167. The cubic root of 804904992 is about 930.2111487270.

The spelling of 804904992 in words is "eight hundred four million, nine hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 593 864 1186 1571 1779 2372 3142 3558 4713 4744 5337 6284 7116 9426 9488 10674 12568 14139 14232 16011 18852 18976 21348 25136 28278 28464 32022 37704 42417 42696 50272 56556 56928 64044 75408 84834 85392 113112 128088 150816 169668 170784 226224 256176 339336 452448 512352 678672 931603 1357344 1863206 2794809 3726412 5589618 7452824 8384427 11179236 14905648 16768854 22358472 25153281 29811296 33537708 44716944 50306562 67075416 89433888 100613124 134150832 201226248 268301664 402452496 804904992