Base | Representation |
---|---|
bin | 1000110100000100000 |
3 | 112200011022 |
4 | 1012200200 |
5 | 33220200 |
6 | 10105012 |
7 | 2311661 |
oct | 1064040 |
9 | 480138 |
10 | 288800 |
11 | 187a86 |
12 | 11b168 |
13 | a15b5 |
14 | 77368 |
15 | 5a885 |
hex | 46820 |
288800 has 54 divisors (see below), whose sum is σ = 744093. Its totient is φ = 109440.
The previous prime is 288773. The next prime is 288803. The reversal of 288800 is 8882.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
288800 is digitally balanced in base 3, 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 2 ways, for example, as 283024 + 5776 = 532^2 + 76^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=380.
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 288800.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288800.
It is not an unprimeable number, because it can be changed into a prime (288803) 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 8 ways as a sum of consecutive naturals, for example, 15191 + ... + 15209.
2288800 is an apocalyptic number.
288800 is a gapful number since it is divisible by the number (20) 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 288800
288800 is an abundant number, since it is smaller than the sum of its proper divisors (455293).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
288800 is a wasteful number, since it uses less digits than its factorization.
288800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 58 (or 26 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 26.
The square root of 288800 is about 537.4011537018. The cubic root of 288800 is about 66.0996352486.
It can be divided in two parts, 288 and 800, that multiplied together give a square (230400 = 4802).
The spelling of 288800 in words is "two hundred eighty-eight thousand, eight hundred".
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