Base | Representation |
---|---|
bin | 100001100111001… |
… | …101000000000000 |
3 | 1110022010100122211 |
4 | 201213031000000 |
5 | 2123331044432 |
6 | 131542511504 |
7 | 16655166121 |
oct | 4147150000 |
9 | 1408110584 |
10 | 563924992 |
11 | 26a359214 |
12 | 138a35594 |
13 | 8caa7737 |
14 | 54c76048 |
15 | 34793d47 |
hex | 219cd000 |
563924992 has 78 divisors (see below), whose sum is σ = 1177489014. Its totient is φ = 269844480.
The previous prime is 563924983. The next prime is 563924993. The reversal of 563924992 is 299429365.
It can be written as a sum of positive squares in 3 ways, for example, as 147456 + 563777536 = 384^2 + 23744^2 .
It is a super-2 number, since 2×5639249922 = 636022793204400128, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (563924993) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9244642 + ... + 9244702.
It is an arithmetic number, because the mean of its divisors is an integer number (15096013).
Almost surely, 2563924992 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 563924992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588744507).
563924992 is an abundant number, since it is smaller than the sum of its proper divisors (613564022).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
563924992 is an frugal number, since it uses more digits than its factorization.
563924992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 183 (or 100 counting only the distinct ones).
The product of its digits is 1049760, while the sum is 49.
The square root of 563924992 is about 23747.1049182842. The cubic root of 563924992 is about 826.1782940344.
The spelling of 563924992 in words is "five hundred sixty-three million, nine hundred twenty-four thousand, nine hundred ninety-two".
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