| Base | Representation |
|---|---|
| bin | 110001010111010… |
| … | …111011010100000 |
| 3 | 2010201102100220000 |
| 4 | 301113113122200 |
| 5 | 3144010140200 |
| 6 | 214103220000 |
| 7 | 26344441626 |
| oct | 6127273240 |
| 9 | 2121370800 |
| 10 | 828208800 |
| 11 | 395558591 |
| 12 | 1b1447600 |
| 13 | 10277b7a3 |
| 14 | 7bdcd516 |
| 15 | 4ca9a300 |
| hex | 315d76a0 |
828208800 has 180 divisors, whose sum is σ = 3020552766. Its totient is φ = 220838400.
The previous prime is 828208751. The next prime is 828208807. The reversal of 828208800 is 8802828.
828208800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 3 ways, for example, as 696326544 + 131882256 = 26388^2 + 11484^2 .
It is a tau number, because it is divible by the number of its divisors (180).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (828208807) by changing a digit.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 58410 + ... + 71190.
Almost surely, 2828208800 is an apocalyptic number.
828208800 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 828208800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510276383).
828208800 is an abundant number, since it is smaller than the sum of its proper divisors (2192343966).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
828208800 is a wasteful number, since it uses less digits than its factorization.
828208800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12813 (or 12791 counting only the distinct ones).
The product of its (nonzero) digits is 16384, while the sum is 36.
The square root of 828208800 is about 28778.6170619785. The cubic root of 828208800 is about 939.1031131343.
It can be divided in two parts, 828 and 208800, that added together give a triangular number (209628 = T647).
The spelling of 828208800 in words is "eight hundred twenty-eight million, two hundred eight thousand, eight hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.064 sec. • engine limits •