| Base | Representation |
|---|---|
| bin | 1001110001111… |
| … | …10101000000000 |
| 3 | 12201101100012000 |
| 4 | 10320332220000 |
| 5 | 132000423230 |
| 6 | 12050304000 |
| 7 | 2014242351 |
| oct | 470765000 |
| 9 | 181340160 |
| 10 | 82045440 |
| 11 | 42348a54 |
| 12 | 23588000 |
| 13 | 13cc83c9 |
| 14 | ac79d28 |
| 15 | 7309b60 |
| hex | 4e3ea00 |
82045440 has 160 divisors (see below), whose sum is σ = 291677760. Its totient is φ = 21860352.
The previous prime is 82045421. The next prime is 82045441. The reversal of 82045440 is 4454028.
It is a tau number, because it is divible by the number of its divisors (160).
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (82045441) 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 15 ways as a sum of consecutive naturals, for example, 68527 + ... + 69713.
It is an arithmetic number, because the mean of its divisors is an integer number (1822986).
Almost surely, 282045440 is an apocalyptic number.
82045440 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 82045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145838880).
82045440 is an abundant number, since it is smaller than the sum of its proper divisors (209632320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82045440 is a wasteful number, since it uses less digits than its factorization.
82045440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1219 (or 1197 counting only the distinct ones).
The product of its (nonzero) digits is 5120, while the sum is 27.
The square root of 82045440 is about 9057.8937949172. The cubic root of 82045440 is about 434.5283830422.
Adding to 82045440 its reverse (4454028), we get a palindrome (86499468).
The spelling of 82045440 in words is "eighty-two million, forty-five thousand, four hundred forty".
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