Base | Representation |
---|---|
bin | 1001110100110… |
… | …10110100000000 |
3 | 12202002112011012 |
4 | 10322122310000 |
5 | 132100014130 |
6 | 12102340052 |
7 | 2020404260 |
oct | 472326400 |
9 | 182075135 |
10 | 82423040 |
11 | 42586717 |
12 | 2372a628 |
13 | 140cb23b |
14 | ad377a0 |
15 | 7381995 |
hex | 4e9ad00 |
82423040 has 72 divisors (see below), whose sum is σ = 225657600. Its totient is φ = 28256256.
The previous prime is 82423031. The next prime is 82423043. The reversal of 82423040 is 4032428.
It is a junction number, because it is equal to n+sod(n) for n = 82422997 and 82423015.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (82423043) 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, 4361 + ... + 13559.
Almost surely, 282423040 is an apocalyptic number.
82423040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 82423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112828800).
82423040 is an abundant number, since it is smaller than the sum of its proper divisors (143234560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82423040 is an equidigital number, since it uses as much as digits as its factorization.
82423040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9227 (or 9213 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 23.
The square root of 82423040 is about 9078.7135652580. The cubic root of 82423040 is about 435.1939769928.
Adding to 82423040 its reverse (4032428), we get a palindrome (86455468).
The spelling of 82423040 in words is "eighty-two million, four hundred twenty-three thousand, forty".
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