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806808072 = 233729165601
BaseRepresentation
bin110000000101101…
…110101000001000
32002020011002121110
4300011232220020
53123020324242
6212020410320
725664520060
oct6005565010
92066132543
10806808072
11384470934
121a62469a0
13cb1c7935
147921c3a0
154ac6e39c
hex3016ea08

806808072 has 64 divisors (see below), whose sum is σ = 2384668800. Its totient is φ = 222566400.

The previous prime is 806808071. The next prime is 806808089. The reversal of 806808072 is 270808608.

It is a self number, because there is not a number n which added to its sum of digits gives 806808072.

It is not an unprimeable number, because it can be changed into a prime (806808071) by changing a digit.

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 in 15 ways as a sum of consecutive naturals, for example, 77929 + ... + 87672.

It is an arithmetic number, because the mean of its divisors is an integer number (37260450).

Almost surely, 2806808072 is an apocalyptic number.

It is an amenable number.

806808072 is an abundant number, since it is smaller than the sum of its proper divisors (1577860728).

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

806808072 is a wasteful number, since it uses less digits than its factorization.

806808072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165646 (or 165642 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 806808072 is about 28404.3671290173. The cubic root of 806808072 is about 930.9436877230.

The spelling of 806808072 in words is "eight hundred six million, eight hundred eight thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 4872 165601 331202 496803 662404 993606 1159207 1324808 1987212 2318414 3477621 3974424 4636828 4802429 6955242 9273656 9604858 13910484 14407287 19209716 27820968 28814574 33617003 38419432 57629148 67234006 100851009 115258296 134468012 201702018 268936024 403404036 806808072