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825492393 = 32118338307
BaseRepresentation
bin110001001101000…
…000001110101001
32010112022100200100
4301031000032221
53142311224033
6213525100013
726312366235
oct6115001651
92115270610
10825492393
11393a72720
121b0557609
1310203a24b
147b8c35c5
154c710513
hex313403a9

825492393 has 12 divisors (see below), whose sum is σ = 1300776048. Its totient is φ = 500298360.

The previous prime is 825492391. The next prime is 825492413. The reversal of 825492393 is 393294528.

It is a happy number.

825492393 is a `hidden beast` number, since 8 + 254 + 9 + 2 + 393 = 666.

It is not a de Polignac number, because 825492393 - 21 = 825492391 is a prime.

It is not an unprimeable number, because it can be changed into a prime (825492391) 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, 4169055 + ... + 4169252.

It is an arithmetic number, because the mean of its divisors is an integer number (108398004).

Almost surely, 2825492393 is an apocalyptic number.

It is an amenable number.

825492393 is a deficient number, since it is larger than the sum of its proper divisors (475283655).

825492393 is a wasteful number, since it uses less digits than its factorization.

825492393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8338324 (or 8338321 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 825492393 is about 28731.3834160487. The cubic root of 825492393 is about 938.0752804104.

It can be divided in two parts, 8 and 25492393, that added together give a square (25492401 = 50492).

The spelling of 825492393 in words is "eight hundred twenty-five million, four hundred ninety-two thousand, three hundred ninety-three".

Divisors: 1 3 9 11 33 99 8338307 25014921 75044763 91721377 275164131 825492393