Base | Representation |
---|---|
bin | 1010100001100… |
… | …10110000100000 |
3 | 20011010111202121 |
4 | 11100302300200 |
5 | 140100211123 |
6 | 12432154024 |
7 | 2121303154 |
oct | 520626040 |
9 | 204114677 |
10 | 88288288 |
11 | 45922330 |
12 | 25698914 |
13 | 153a2aba |
14 | ba23064 |
15 | 7b3e75d |
hex | 5432c20 |
88288288 has 96 divisors (see below), whose sum is σ = 204906240. Its totient is φ = 37013760.
The previous prime is 88288229. The next prime is 88288303.
It is a happy number.
88288288 is nontrivially palindromic in base 10.
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287431 + ... + 287737.
It is an arithmetic number, because the mean of its divisors is an integer number (2134440).
Almost surely, 288288288 is an apocalyptic number.
88288288 is a gapful number since it is divisible by the number (88) 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 88288288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102453120).
88288288 is an abundant number, since it is smaller than the sum of its proper divisors (116617952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
88288288 is a wasteful number, since it uses less digits than its factorization.
88288288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 390 (or 382 counting only the distinct ones).
The product of its digits is 1048576, while the sum is 52.
The square root of 88288288 is about 9396.1847576556. The cubic root of 88288288 is about 445.2812059256.
The spelling of 88288288 in words is "eighty-eight million, two hundred eighty-eight thousand, two hundred eighty-eight".
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