| Base | Representation |
|---|---|
| bin | 1001110010001… |
| … | …10111011010000 |
| 3 | 12201110001211021 |
| 4 | 10321012323100 |
| 5 | 132003020230 |
| 6 | 12051125224 |
| 7 | 2014443442 |
| oct | 471067320 |
| 9 | 181401737 |
| 10 | 82079440 |
| 11 | 42371553 |
| 12 | 235a3814 |
| 13 | 1400aa21 |
| 14 | ac88492 |
| 15 | 7314c7a |
| hex | 4e46ed0 |
82079440 has 40 divisors (see below), whose sum is σ = 192253320. Its totient is φ = 32587776.
The previous prime is 82079419. The next prime is 82079441. The reversal of 82079440 is 4497028.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 10575504 + 71503936 = 3252^2 + 8456^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a junction number, because it is equal to n+sod(n) for n = 82079396 and 82079405.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (82079441) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7216 + ... + 14704.
It is an arithmetic number, because the mean of its divisors is an integer number (4806333).
Almost surely, 282079440 is an apocalyptic number.
82079440 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 82079440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96126660).
82079440 is an abundant number, since it is smaller than the sum of its proper divisors (110173880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82079440 is a wasteful number, since it uses less digits than its factorization.
82079440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7639 (or 7633 counting only the distinct ones).
The product of its (nonzero) digits is 16128, while the sum is 34.
The square root of 82079440 is about 9059.7704165172. The cubic root of 82079440 is about 434.5883982593.
The spelling of 82079440 in words is "eighty-two million, seventy-nine thousand, four hundred forty".
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