| Base | Representation |
|---|---|
| bin | 1001110100101… |
| … | …10001010100000 |
| 3 | 12202001120001000 |
| 4 | 10322112022200 |
| 5 | 132043412000 |
| 6 | 12102112000 |
| 7 | 2020264620 |
| oct | 472261240 |
| 9 | 182046030 |
| 10 | 82404000 |
| 11 | 42573388 |
| 12 | 2371b600 |
| 13 | 140c2683 |
| 14 | ad30880 |
| 15 | 737b000 |
| hex | 4e962a0 |
82404000 has 384 divisors, whose sum is σ = 345945600. Its totient is φ = 18662400.
The previous prime is 82403999. The next prime is 82404001. The reversal of 82404000 is 40428.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (82403999) and next prime (82404001).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (82404001) 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 63 ways as a sum of consecutive naturals, for example, 755946 + ... + 756054.
It is an arithmetic number, because the mean of its divisors is an integer number (900900).
Almost surely, 282404000 is an apocalyptic number.
82404000 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 82404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172972800).
82404000 is an abundant number, since it is smaller than the sum of its proper divisors (263541600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82404000 is a wasteful number, since it uses less digits than its factorization.
82404000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 150 (or 126 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 82404000 is about 9077.6648979790. The cubic root of 82404000 is about 435.1604639870.
Adding to 82404000 its reverse (40428), we get a palindrome (82444428).
The spelling of 82404000 in words is "eighty-two million, four hundred four thousand".
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