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820232768 = 2612816137
BaseRepresentation
bin110000111000111…
…100001001000000
32010011102010211102
4300320330021000
53134434422033
6213220233532
726216602115
oct6070741100
92104363742
10820232768
11391000023
121aa83b8a8
13100c18244
147ad1490c
154c021de8
hex30e3c240

820232768 has 14 divisors (see below), whose sum is σ = 1627649526. Its totient is φ = 410116352.

The previous prime is 820232741. The next prime is 820232771. The reversal of 820232768 is 867232028.

It can be written as a sum of positive squares in only one way, i.e., 583319104 + 236913664 = 24152^2 + 15392^2 .

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 as a sum of consecutive naturals, namely, 6408005 + ... + 6408132.

Almost surely, 2820232768 is an apocalyptic number.

It is an amenable number.

820232768 is a deficient number, since it is larger than the sum of its proper divisors (807416758).

820232768 is a wasteful number, since it uses less digits than its factorization.

820232768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12816149 (or 12816139 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 820232768 is about 28639.7061437439. The cubic root of 820232768 is about 936.0787183899.

The spelling of 820232768 in words is "eight hundred twenty million, two hundred thirty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 12816137 25632274 51264548 102529096 205058192 410116384 820232768