Base | Representation |
---|---|
bin | 1001111000010… |
… | …11101100000000 |
3 | 12202222000100202 |
4 | 10330023230000 |
5 | 132204313001 |
6 | 12120304332 |
7 | 2024341220 |
oct | 474135400 |
9 | 182860322 |
10 | 82885376 |
11 | 42872012 |
12 | 239120a8 |
13 | 14230802 |
14 | b018080 |
15 | 742396b |
hex | 4f0bb00 |
82885376 has 72 divisors (see below), whose sum is σ = 197401344. Its totient is φ = 33960960.
The previous prime is 82885373. The next prime is 82885417. The reversal of 82885376 is 67358828.
It is a super-2 number, since 2×828853762 = 13739971109322752, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 82885376.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (82885373) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40211 + ... + 42221.
Almost surely, 282885376 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 82885376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98700672).
82885376 is an abundant number, since it is smaller than the sum of its proper divisors (114515968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82885376 is a wasteful number, since it uses less digits than its factorization.
82885376 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2057 (or 2043 counting only the distinct ones).
The product of its digits is 645120, while the sum is 47.
The square root of 82885376 is about 9104.1405964539. The cubic root of 82885376 is about 436.0061722326.
The spelling of 82885376 in words is "eighty-two million, eight hundred eighty-five thousand, three hundred seventy-six".
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