Base | Representation |
---|---|
bin | 1001111110111… |
… | …01110100111000 |
3 | 12211120202001120 |
4 | 10333131310320 |
5 | 132414333404 |
6 | 12150545240 |
7 | 2034554511 |
oct | 477356470 |
9 | 184522046 |
10 | 83746104 |
11 | 432aa762 |
12 | 24068220 |
13 | 14472510 |
14 | b19da08 |
15 | 75439d9 |
hex | 4fddd38 |
83746104 has 64 divisors (see below), whose sum is σ = 230307840. Its totient is φ = 25215360.
The previous prime is 83746093. The next prime is 83746123. The reversal of 83746104 is 40164738.
It is a congruent number.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 11809 + ... + 17519.
It is an arithmetic number, because the mean of its divisors is an integer number (3598560).
Almost surely, 283746104 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 83746104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115153920).
83746104 is an abundant number, since it is smaller than the sum of its proper divisors (146561736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
83746104 is a wasteful number, since it uses less digits than its factorization.
83746104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5780 (or 5776 counting only the distinct ones).
The product of its (nonzero) digits is 16128, while the sum is 33.
The square root of 83746104 is about 9151.2897451671. The cubic root of 83746104 is about 437.5102216932.
The spelling of 83746104 in words is "eighty-three million, seven hundred forty-six thousand, one hundred four".
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