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804827664 = 243669001
BaseRepresentation
bin101111111110001…
…011001000010000
32002002102111000000
4233332023020100
53122013441124
6211510130000
725641631224
oct5776131020
92062374000
10804827664
11383338a33
121a5650900
13ca9833b4
1478c64784
154a9cc6c9
hex2ff8b210

804827664 has 70 divisors (see below), whose sum is σ = 2337994766. Its totient is φ = 268272000.

The previous prime is 804827641. The next prime is 804827693. The reversal of 804827664 is 466728408.

804827664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 443523600 + 361304064 = 21060^2 + 19008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 22837 + ... + 46164.

Almost surely, 2804827664 is an apocalyptic number.

It is an amenable number.

804827664 is an abundant number, since it is smaller than the sum of its proper divisors (1533167102).

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

804827664 is an equidigital number, since it uses as much as digits as its factorization.

804827664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69027 (or 69006 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 804827664 is about 28369.4847327194. The cubic root of 804827664 is about 930.1813590118.

The spelling of 804827664 in words is "eight hundred four million, eight hundred twenty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 69001 138002 207003 276004 414006 552008 621009 828012 1104016 1242018 1656024 1863027 2484036 3312048 3726054 4968072 5589081 7452108 9936144 11178162 14904216 16767243 22356324 29808432 33534486 44712648 50301729 67068972 89425296 100603458 134137944 201206916 268275888 402413832 804827664