| Base | Representation |
|---|---|
| bin | 1010001000100… |
| … | …10000000010000 |
| 3 | 12220221212121021 |
| 4 | 11010102000100 |
| 5 | 133230232100 |
| 6 | 12234005224 |
| 7 | 2051362621 |
| oct | 504220020 |
| 9 | 186855537 |
| 10 | 85008400 |
| 11 | 43a92084 |
| 12 | 24576814 |
| 13 | 147c4c39 |
| 14 | b40ba48 |
| 15 | 76e2a1a |
| hex | 5112010 |
85008400 has 45 divisors (see below), whose sum is σ = 204676663. Its totient is φ = 33929600.
The previous prime is 85008379. The next prime is 85008403. The reversal of 85008400 is 480058.
The square root of 85008400 is 9220.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 8690704 + 76317696 = 2948^2 + 8736^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (85008403) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 184170 + ... + 184630.
Almost surely, 285008400 is an apocalyptic number.
85008400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.
85008400 is the 9220-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 85008400
85008400 is an abundant number, since it is smaller than the sum of its proper divisors (119668263).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
85008400 is an equidigital number, since it uses as much as digits as its factorization.
85008400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 940 (or 468 counting only the distinct ones).
The product of its (nonzero) digits is 1280, while the sum is 25.
The cubic root of 85008400 is about 439.6974504129.
Multiplying 85008400 by its sum of digits (25), we get a square (2125210000 = 461002).
85008400 divided by its sum of digits (25) gives a square (3400336 = 18442).
Adding to 85008400 its reverse (480058), we get a palindrome (85488458).
It can be divided in two parts, 8500 and 8400, that added together give a square (16900 = 1302).
The spelling of 85008400 in words is "eighty-five million, eight thousand, four hundred".
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