| Base | Representation |
|---|---|
| bin | 1001111000101… |
| … | …10110101100000 |
| 3 | 12210001100000000 |
| 4 | 10330112311200 |
| 5 | 132212243130 |
| 6 | 12121300000 |
| 7 | 2024621313 |
| oct | 474266540 |
| 9 | 183040000 |
| 10 | 82931040 |
| 11 | 428a3355 |
| 12 | 23934600 |
| 13 | 1424852a |
| 14 | b02a97a |
| 15 | 7432260 |
| hex | 4f16d60 |
82931040 has 216 divisors, whose sum is σ = 297591840. Its totient is φ = 21835008.
The previous prime is 82931003. The next prime is 82931041. The reversal of 82931040 is 4013928.
It is a tau number, because it is divible by the number of its divisors (216).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 82930995 and 82931013.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (82931041) 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 35 ways as a sum of consecutive naturals, for example, 1049721 + ... + 1049799.
It is an arithmetic number, because the mean of its divisors is an integer number (1377740).
Almost surely, 282931040 is an apocalyptic number.
82931040 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 82931040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148795920).
82931040 is an abundant number, since it is smaller than the sum of its proper divisors (214660800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82931040 is an frugal number, since it uses more digits than its factorization.
82931040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 118 (or 89 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 82931040 is about 9106.6481210158. The cubic root of 82931040 is about 436.0862270892.
Adding to 82931040 its reverse (4013928), we get a palindrome (86944968).
The spelling of 82931040 in words is "eighty-two million, nine hundred thirty-one thousand, forty".
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