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820294696 = 231329271981
BaseRepresentation
bin110000111001001…
…011010000101000
32010011112021210001
4300321023100220
53134443412241
6213221432344
726220250504
oct6071132050
92104467701
10820294696
11391042601
121aa86b6b4
13100c3a4a0
147ad2d304
154c035431
hex30e4b428

820294696 has 32 divisors (see below), whose sum is σ = 1713486600. Its totient is φ = 365541120.

The previous prime is 820294687. The next prime is 820294697. The reversal of 820294696 is 696492028.

It can be written as a sum of positive squares in 4 ways, for example, as 699602500 + 120692196 = 26450^2 + 10986^2 .

It is not an unprimeable number, because it can be changed into a prime (820294697) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132975 + ... + 139006.

Almost surely, 2820294696 is an apocalyptic number.

It is an amenable number.

820294696 is an abundant number, since it is smaller than the sum of its proper divisors (893191904).

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

820294696 is a wasteful number, since it uses less digits than its factorization.

820294696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272029 (or 272025 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 820294696 is about 28640.7872796821. The cubic root of 820294696 is about 936.1022759402.

The spelling of 820294696 in words is "eight hundred twenty million, two hundred ninety-four thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 754 1508 3016 271981 543962 1087924 2175848 3535753 7071506 7887449 14143012 15774898 28286024 31549796 63099592 102536837 205073674 410147348 820294696