Base | Representation |
---|---|
bin | 1001110001111… |
… | …11000000000000 |
3 | 12201101102021220 |
4 | 10320333000000 |
5 | 132001000401 |
6 | 12050315040 |
7 | 2014250004 |
oct | 470770000 |
9 | 181342256 |
10 | 82046976 |
11 | 4234a120 |
12 | 23588a80 |
13 | 13cc900b |
14 | ac7a704 |
15 | 730a336 |
hex | 4e3f000 |
82046976 has 104 divisors (see below), whose sum is σ = 239046144. Its totient is φ = 24821760.
The previous prime is 82046969. The next prime is 82046983. The reversal of 82046976 is 67964028.
It is an interprime number because it is at equal distance from previous prime (82046969) and next prime (82046983).
It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.
It is a congruent number.
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, 134865 + ... + 135471.
Almost surely, 282046976 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 82046976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119523072).
82046976 is an abundant number, since it is smaller than the sum of its proper divisors (156999168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82046976 is a wasteful number, since it uses less digits than its factorization.
82046976 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 645 (or 623 counting only the distinct ones).
The product of its (nonzero) digits is 145152, while the sum is 42.
The square root of 82046976 is about 9057.9785824432. The cubic root of 82046976 is about 434.5310946754.
The spelling of 82046976 in words is "eighty-two million, forty-six thousand, nine hundred seventy-six".
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