| Base | Representation |
|---|---|
| bin | 110000010000010… |
| … | …000000000100000 |
| 3 | 2002102100020002211 |
| 4 | 300100100000200 |
| 5 | 3124222104430 |
| 6 | 212155451504 |
| 7 | 26030125300 |
| oct | 6020200040 |
| 9 | 2072306084 |
| 10 | 809566240 |
| 11 | 385a8510a |
| 12 | 1a7156b94 |
| 13 | cb9521a2 |
| 14 | 79739600 |
| 15 | 4b11672a |
| hex | 30410020 |
809566240 has 144 divisors (see below), whose sum is σ = 2297320704. Its totient is φ = 268531200.
The previous prime is 809566237. The next prime is 809566243. The reversal of 809566240 is 42665908.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (809566237) and next prime (809566243).
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a junction number, because it is equal to n+sod(n) for n = 809566193 and 809566202.
It is not an unprimeable number, because it can be changed into a prime (809566243) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241375 + ... + 244705.
It is an arithmetic number, because the mean of its divisors is an integer number (15953616).
Almost surely, 2809566240 is an apocalyptic number.
809566240 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 809566240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148660352).
809566240 is an abundant number, since it is smaller than the sum of its proper divisors (1487754464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
809566240 is a wasteful number, since it uses less digits than its factorization.
809566240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3391 (or 3376 counting only the distinct ones).
The product of its (nonzero) digits is 103680, while the sum is 40.
The square root of 809566240 is about 28452.8775346185. The cubic root of 809566240 is about 932.0033278569.
The spelling of 809566240 in words is "eight hundred nine million, five hundred sixty-six thousand, two hundred forty".
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