Base | Representation |
---|---|
bin | 11110000100010… |
… | …00011111010000 |
3 | 122120120222002100 |
4 | 33002020133100 |
5 | 1004031423141 |
6 | 41005520400 |
7 | 6151545252 |
oct | 1702103720 |
9 | 576528070 |
10 | 252217296 |
11 | 11a408651 |
12 | 70573100 |
13 | 4033aa06 |
14 | 256d5cd2 |
15 | 172210b6 |
hex | f0887d0 |
252217296 has 60 divisors (see below), whose sum is σ = 714825280. Its totient is φ = 83004480.
The previous prime is 252217289. The next prime is 252217309. The reversal of 252217296 is 692712252.
It is a happy number.
It is a super-3 number, since 3×2522172963 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 252217296.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291 + ... + 22461.
Almost surely, 2252217296 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 252217296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357412640).
252217296 is an abundant number, since it is smaller than the sum of its proper divisors (462607984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
252217296 is a wasteful number, since it uses less digits than its factorization.
252217296 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 22264 (or 22255 counting only the distinct ones).
The product of its digits is 30240, while the sum is 36.
The square root of 252217296 is about 15881.3505722908. The cubic root of 252217296 is about 631.8174578295.
The spelling of 252217296 in words is "two hundred fifty-two million, two hundred seventeen thousand, two hundred ninety-six".
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