| Base | Representation |
|---|---|
| bin | 100001011111100… |
| … | …010101110000000 |
| 3 | 1110011100022221100 |
| 4 | 201133202232000 |
| 5 | 2122322314200 |
| 6 | 131431454400 |
| 7 | 16632133254 |
| oct | 4137425600 |
| 9 | 1404308840 |
| 10 | 561916800 |
| 11 | 269207455 |
| 12 | 138227400 |
| 13 | 8c553663 |
| 14 | 548b2264 |
| 15 | 344e8d00 |
| hex | 217e2b80 |
561916800 has 288 divisors, whose sum is σ = 2034747000. Its totient is φ = 147640320.
The previous prime is 561916799. The next prime is 561916801. The reversal of 561916800 is 8619165.
561916800 is a `hidden beast` number, since 561 + 9 + 16 + 80 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (561916799) and next prime (561916801).
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a zygodrome in base 3.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (561916801) 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 35 ways as a sum of consecutive naturals, for example, 3139111 + ... + 3139289.
Almost surely, 2561916800 is an apocalyptic number.
561916800 is a gapful number since it is divisible by the number (50) 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 561916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017373500).
561916800 is an abundant number, since it is smaller than the sum of its proper divisors (1472830200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
561916800 is a wasteful number, since it uses less digits than its factorization.
561916800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 318 (or 298 counting only the distinct ones).
The product of its (nonzero) digits is 12960, while the sum is 36.
The square root of 561916800 is about 23704.7843272197. The cubic root of 561916800 is about 825.1964270575.
The spelling of 561916800 in words is "five hundred sixty-one million, nine hundred sixteen thousand, eight hundred".
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