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808112961 = 32213742017
BaseRepresentation
bin110000001010101…
…101001101000001
32002022121101120200
4300022231031001
53123334103321
6212104355413
726011563315
oct6012551501
92068541520
10808112961
11385182257
121a6775b69
13cb563866
147947bb45
154ae2ad26
hex302ad341

808112961 has 12 divisors (see below), whose sum is σ = 1167848292. Its totient is φ = 538477056.

The previous prime is 808112957. The next prime is 808112989. The reversal of 808112961 is 169211808.

It can be written as a sum of positive squares in 2 ways, for example, as 66585600 + 741527361 = 8160^2 + 27231^2 .

It is not a de Polignac number, because 808112961 - 22 = 808112957 is a prime.

It is a super-3 number, since 3×8081129613 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (808112941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1776 + ... + 40241.

It is an arithmetic number, because the mean of its divisors is an integer number (97320691).

Almost surely, 2808112961 is an apocalyptic number.

It is an amenable number.

808112961 is a deficient number, since it is larger than the sum of its proper divisors (359735331).

808112961 is a wasteful number, since it uses less digits than its factorization.

808112961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44160 (or 44157 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 808112961 is about 28427.3277147185. The cubic root of 808112961 is about 931.4453038659.

The spelling of 808112961 in words is "eight hundred eight million, one hundred twelve thousand, nine hundred sixty-one".

Divisors: 1 3 9 2137 6411 19233 42017 126051 378153 89790329 269370987 808112961