Base | Representation |
---|---|
bin | 1001111011011… |
… | …10001111110001 |
3 | 12210201112010111 |
4 | 10331232033301 |
5 | 132310222243 |
6 | 12133101321 |
7 | 2030642200 |
oct | 475561761 |
9 | 183645114 |
10 | 83289073 |
11 | 4301834a |
12 | 23a87841 |
13 | 1434249a |
14 | b0c1237 |
15 | 74a339d |
hex | 4f6e3f1 |
83289073 has 12 divisors (see below), whose sum is σ = 100229940. Its totient is φ = 68927712.
The previous prime is 83289071. The next prime is 83289083. The reversal of 83289073 is 37098238.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 70090384 + 13198689 = 8372^2 + 3633^2 .
It is not a de Polignac number, because 83289073 - 21 = 83289071 is a prime.
It is a super-3 number, since 3×832890733 (a number of 25 digits) contains 333 as substring.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (83289071) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27886 + ... + 30727.
It is an arithmetic number, because the mean of its divisors is an integer number (8352495).
Almost surely, 283289073 is an apocalyptic number.
It is an amenable number.
83289073 is a deficient number, since it is larger than the sum of its proper divisors (16940867).
83289073 is a wasteful number, since it uses less digits than its factorization.
83289073 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 58656 (or 58649 counting only the distinct ones).
The product of its (nonzero) digits is 72576, while the sum is 40.
The square root of 83289073 is about 9126.2847314775. The cubic root of 83289073 is about 436.7128887484.
The spelling of 83289073 in words is "eighty-three million, two hundred eighty-nine thousand, seventy-three".
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