Base | Representation |
---|---|
bin | 10000001110100… |
… | …111110000000000 |
3 | 200222022122212200 |
4 | 100032213300000 |
5 | 1024200041123 |
6 | 43003353200 |
7 | 6514146045 |
oct | 2016476000 |
9 | 628278780 |
10 | 272268288 |
11 | 12a763216 |
12 | 77222800 |
13 | 4453b3c6 |
14 | 282351cc |
15 | 18d82143 |
hex | 103a7c00 |
272268288 has 132 divisors (see below), whose sum is σ = 812380608. Its totient is φ = 87736320.
The previous prime is 272268287. The next prime is 272268289. The reversal of 272268288 is 882862272.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (272268287) and next prime (272268289).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (272268287) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285220 + ... + 286172.
Almost surely, 2272268288 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 272268288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406190304).
272268288 is an abundant number, since it is smaller than the sum of its proper divisors (540112320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
272268288 is a wasteful number, since it uses less digits than its factorization.
272268288 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1010 (or 989 counting only the distinct ones).
The product of its digits is 344064, while the sum is 45.
The square root of 272268288 is about 16500.5541725119. The cubic root of 272268288 is about 648.1353169626.
The spelling of 272268288 in words is "two hundred seventy-two million, two hundred sixty-eight thousand, two hundred eighty-eight".
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