Base | Representation |
---|---|
bin | 1001111111111… |
… | …01100011000000 |
3 | 12211211100021201 |
4 | 10333331203000 |
5 | 132433013112 |
6 | 12153430544 |
7 | 2035635352 |
oct | 477754300 |
9 | 184740251 |
10 | 83876032 |
11 | 43389339 |
12 | 2410b454 |
13 | 144b96b6 |
14 | b1d50d2 |
15 | 756c257 |
hex | 4ffd8c0 |
83876032 has 56 divisors (see below), whose sum is σ = 182880000. Its totient is φ = 37990656.
The previous prime is 83876021. The next prime is 83876069. The reversal of 83876032 is 23067838.
It is a junction number, because it is equal to n+sod(n) for n = 83875982 and 83876000.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26469 + ... + 29467.
Almost surely, 283876032 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 83876032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91440000).
83876032 is an abundant number, since it is smaller than the sum of its proper divisors (99003968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
83876032 is a wasteful number, since it uses less digits than its factorization.
83876032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3053 (or 3043 counting only the distinct ones).
The product of its (nonzero) digits is 48384, while the sum is 37.
The square root of 83876032 is about 9158.3858839863. The cubic root of 83876032 is about 437.7363633816.
The spelling of 83876032 in words is "eighty-three million, eight hundred seventy-six thousand, thirty-two".
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