Base | Representation |
---|---|
bin | 100001100100010… |
… | …111010110000000 |
3 | 1110020201112222220 |
4 | 201210113112000 |
5 | 2123133242203 |
6 | 131514531040 |
7 | 16645646622 |
oct | 4144272600 |
9 | 1406645886 |
10 | 563180928 |
11 | 2699a0192 |
12 | 138736a80 |
13 | 8c8a6b6b |
14 | 54b20c12 |
15 | 34698653 |
hex | 21917580 |
563180928 has 128 divisors (see below), whose sum is σ = 1565740800. Its totient is φ = 179128320.
The previous prime is 563180927. The next prime is 563180929. The reversal of 563180928 is 829081365.
It is an interprime number because it is at equal distance from previous prime (563180927) and next prime (563180929).
It is a tau number, because it is divible by the number of its divisors (128).
It is a self number, because there is not a number n which added to its sum of digits gives 563180928.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (563180927) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 1146763 + ... + 1147253.
It is an arithmetic number, because the mean of its divisors is an integer number (12232350).
Almost surely, 2563180928 is an apocalyptic number.
563180928 is a gapful number since it is divisible by the number (58) 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 563180928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782870400).
563180928 is an abundant number, since it is smaller than the sum of its proper divisors (1002559872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
563180928 is a wasteful number, since it uses less digits than its factorization.
563180928 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 640 (or 628 counting only the distinct ones).
The product of its (nonzero) digits is 103680, while the sum is 42.
The square root of 563180928 is about 23731.4333321862. The cubic root of 563180928 is about 825.8147704576.
The spelling of 563180928 in words is "five hundred sixty-three million, one hundred eighty thousand, nine hundred twenty-eight".
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