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820826636 = 22724187891
BaseRepresentation
bin110000111011001…
…101001000001100
32010012112022110112
4300323031020030
53140112423021
6213241055152
726224624400
oct6073151014
92105468415
10820826636
11391376223
121aaa874b8
13101095646
147b02b100
154c0dcd5b
hex30ecd20c

820826636 has 18 divisors (see below), whose sum is σ = 1670968908. Its totient is φ = 351782760.

The previous prime is 820826627. The next prime is 820826663. The reversal of 820826636 is 636628028.

It is a junction number, because it is equal to n+sod(n) for n = 820826593 and 820826602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2093750 + ... + 2094141.

It is an arithmetic number, because the mean of its divisors is an integer number (92831606).

Almost surely, 2820826636 is an apocalyptic number.

It is an amenable number.

820826636 is an abundant number, since it is smaller than the sum of its proper divisors (850142272).

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

820826636 is a wasteful number, since it uses less digits than its factorization.

820826636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4187909 (or 4187900 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 820826636 is about 28650.0721814099. The cubic root of 820826636 is about 936.3045782956.

The spelling of 820826636 in words is "eight hundred twenty million, eight hundred twenty-six thousand, six hundred thirty-six".

Divisors: 1 2 4 7 14 28 49 98 196 4187891 8375782 16751564 29315237 58630474 117260948 205206659 410413318 820826636