| Base | Representation |
|---|---|
| bin | 100001101011000… |
| … | …111111010110000 |
| 3 | 1110101001120111000 |
| 4 | 201223013322300 |
| 5 | 2124111442002 |
| 6 | 132020522000 |
| 7 | 20000006400 |
| oct | 4153077260 |
| 9 | 1411046430 |
| 10 | 564952752 |
| 11 | 26a9a0401 |
| 12 | 139250300 |
| 13 | 90077490 |
| 14 | 55062800 |
| 15 | 348e861c |
| hex | 21ac7eb0 |
564952752 has 240 divisors, whose sum is σ = 2032474080. Its totient is φ = 148925952.
The previous prime is 564952733. The next prime is 564952757. The reversal of 564952752 is 257259465.
564952752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×5649527522 = 638343223984747008, which contains 22 as substring.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 564952698 and 564952707.
It is not an unprimeable number, because it can be changed into a prime (564952757) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274158 + ... + 276210.
It is an arithmetic number, because the mean of its divisors is an integer number (8468642).
Almost surely, 2564952752 is an apocalyptic number.
564952752 is a gapful number since it is divisible by the number (52) 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 564952752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016237040).
564952752 is an abundant number, since it is smaller than the sum of its proper divisors (1467521328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
564952752 is a wasteful number, since it uses less digits than its factorization.
564952752 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2097 (or 2078 counting only the distinct ones).
The product of its digits is 756000, while the sum is 45.
The square root of 564952752 is about 23768.7347580808. The cubic root of 564952752 is about 826.6798960191.
The spelling of 564952752 in words is "five hundred sixty-four million, nine hundred fifty-two thousand, seven hundred fifty-two".
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