| Base | Representation |
|---|---|
| bin | 11110000011100… |
| … | …01110100000000 |
| 3 | 122120102020200100 |
| 4 | 33001301310000 |
| 5 | 1004020440131 |
| 6 | 41003522400 |
| 7 | 6151010415 |
| oct | 1701616400 |
| 9 | 576366610 |
| 10 | 252124416 |
| 11 | 11a354895 |
| 12 | 70529400 |
| 13 | 4030765b |
| 14 | 256b010c |
| 15 | 172037e6 |
| hex | f071d00 |
252124416 has 216 divisors, whose sum is σ = 793493064. Its totient is φ = 76677120.
The previous prime is 252124391. The next prime is 252124423. The reversal of 252124416 is 614421252.
252124416 is a `hidden beast` number, since 2 + 5 + 212 + 441 + 6 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 5760000 + 246364416 = 2400^2 + 15696^2 .
It is a super-2 number, since 2×2521244162 = 127133442286682112, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 252124416.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 1605810 + ... + 1605966.
It is an arithmetic number, because the mean of its divisors is an integer number (3673579).
Almost surely, 2252124416 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 252124416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396746532).
252124416 is an abundant number, since it is smaller than the sum of its proper divisors (541368648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
252124416 is a wasteful number, since it uses less digits than its factorization.
252124416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 237 (or 220 counting only the distinct ones).
The product of its digits is 3840, while the sum is 27.
The square root of 252124416 is about 15878.4261184791. The cubic root of 252124416 is about 631.7398918955.
Adding to 252124416 its reverse (614421252), we get a palindrome (866545668).
The spelling of 252124416 in words is "two hundred fifty-two million, one hundred twenty-four thousand, four hundred sixteen".
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