Base | Representation |
---|---|
bin | 1111000011100111… |
… | …10110011100011001 |
3 | 202212100101221210100 |
4 | 13201303312130121 |
5 | 113023324330431 |
6 | 3414040010013 |
7 | 404213022522 |
oct | 74163663431 |
9 | 22770357710 |
10 | 8083433241 |
11 | 3478984044 |
12 | 1697160909 |
13 | 9ba9060c0 |
14 | 5697c5849 |
15 | 3249cb4e6 |
hex | 1e1cf6719 |
8083433241 has 72 divisors (see below), whose sum is σ = 13760477640. Its totient is φ = 4529710080.
The previous prime is 8083433231. The next prime is 8083433243. The reversal of 8083433241 is 1423343808.
It is a happy number.
8083433241 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 3411027216 + 4672406025 = 58404^2 + 68355^2 .
It is not a de Polignac number, because 8083433241 - 25 = 8083433209 is a prime.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 8083433196 and 8083433205.
It is not an unprimeable number, because it can be changed into a prime (8083433243) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1909315 + ... + 1913543.
It is an arithmetic number, because the mean of its divisors is an integer number (191117745).
Almost surely, 28083433241 is an apocalyptic number.
It is an amenable number.
8083433241 is a deficient number, since it is larger than the sum of its proper divisors (5677044399).
8083433241 is a wasteful number, since it uses less digits than its factorization.
8083433241 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4327 (or 4293 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 36.
The square root of 8083433241 is about 89907.9153411979. The cubic root of 8083433241 is about 2006.9287386544.
The spelling of 8083433241 in words is "eight billion, eighty-three million, four hundred thirty-three thousand, two hundred forty-one".
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