| Base | Representation |
|---|---|
| bin | 100001101011001… |
| … | …000110111100000 |
| 3 | 1110101001202211000 |
| 4 | 201223020313200 |
| 5 | 2124112103030 |
| 6 | 132020552000 |
| 7 | 20000023623 |
| oct | 4153106740 |
| 9 | 1411052730 |
| 10 | 564956640 |
| 11 | 26a9a3316 |
| 12 | 139252600 |
| 13 | 90079191 |
| 14 | 55063dba |
| 15 | 348e9860 |
| hex | 21ac8de0 |
564956640 has 192 divisors, whose sum is σ = 2081721600. Its totient is φ = 142705152.
The previous prime is 564956633. The next prime is 564956647. The reversal of 564956640 is 46659465.
564956640 is a `hidden beast` number, since 5 + 6 + 49 + 566 + 40 = 666.
It is an interprime number because it is at equal distance from previous prime (564956633) and next prime (564956647).
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (564956647) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78639 + ... + 85521.
It is an arithmetic number, because the mean of its divisors is an integer number (10842300).
Almost surely, 2564956640 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 564956640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040860800).
564956640 is an abundant number, since it is smaller than the sum of its proper divisors (1516764960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
564956640 is a wasteful number, since it uses less digits than its factorization.
564956640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6926 (or 6912 counting only the distinct ones).
The product of its (nonzero) digits is 777600, while the sum is 45.
The square root of 564956640 is about 23768.8165460546. The cubic root of 564956640 is about 826.6817924160.
The spelling of 564956640 in words is "five hundred sixty-four million, nine hundred fifty-six thousand, six hundred forty".
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