Base | Representation |
---|---|
bin | 11111011100110001000000 |
3 | 120111212001000 |
4 | 133130301000 |
5 | 4102304123 |
6 | 452412000 |
7 | 130034553 |
oct | 37346100 |
9 | 16455030 |
10 | 8244288 |
11 | 4721068 |
12 | 2917000 |
13 | 19286a0 |
14 | 114869a |
15 | accb43 |
hex | 7dcc40 |
8244288 has 112 divisors (see below), whose sum is σ = 26172160. Its totient is φ = 2529792.
The previous prime is 8244287. The next prime is 8244293. The reversal of 8244288 is 8824428.
8244288 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is an Ulam number.
It is not an unprimeable number, because it can be changed into a prime (8244287) 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, 22281 + ... + 22647.
It is an arithmetic number, because the mean of its divisors is an integer number (233680).
Almost surely, 28244288 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 8244288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13086080).
8244288 is an abundant number, since it is smaller than the sum of its proper divisors (17927872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8244288 is a wasteful number, since it uses less digits than its factorization.
8244288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 401 (or 385 counting only the distinct ones).
The product of its digits is 32768, while the sum is 36.
The square root of 8244288 is about 2871.2868195288. The cubic root of 8244288 is about 202.0153568039.
The spelling of 8244288 in words is "eight million, two hundred forty-four thousand, two hundred eighty-eight".
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