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820395096 = 233231486223
BaseRepresentation
bin110000111001100…
…011110001011000
32010011201101111120
4300321203301120
53140010120341
6213223525240
726221146303
oct6071436130
92104641446
10820395096
11391100a84
121aa8b9820
13100c740b1
147ad57b3a
154c055066
hex30e63c58

820395096 has 32 divisors (see below), whose sum is σ = 2140162560. Its totient is φ = 261575072.

The previous prime is 820395071. The next prime is 820395113. The reversal of 820395096 is 690593028.

It is a super-2 number, since 2×8203950962 = 1346096227081698432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 742560 + ... + 743663.

It is an arithmetic number, because the mean of its divisors is an integer number (66880080).

Almost surely, 2820395096 is an apocalyptic number.

It is an amenable number.

820395096 is an abundant number, since it is smaller than the sum of its proper divisors (1319767464).

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

820395096 is a wasteful number, since it uses less digits than its factorization.

820395096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486255 (or 1486251 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 820395096 is about 28642.5399711688. The cubic root of 820395096 is about 936.1404658065.

The spelling of 820395096 in words is "eight hundred twenty million, three hundred ninety-five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 1486223 2972446 4458669 5944892 8917338 11889784 17834676 34183129 35669352 68366258 102549387 136732516 205098774 273465032 410197548 820395096