| Base | Representation |
|---|---|
| bin | 110101011011000… |
| … | …101100000000000 |
| 3 | 2022110112101200000 |
| 4 | 311123011200000 |
| 5 | 3313422332424 |
| 6 | 224534400000 |
| 7 | 31132235505 |
| oct | 6533054000 |
| 9 | 2273471600 |
| 10 | 896292864 |
| 11 | 41aa30105 |
| 12 | 210200000 |
| 13 | 1138c920c |
| 14 | 870734ac |
| 15 | 53a483c9 |
| hex | 356c5800 |
896292864 has 144 divisors (see below), whose sum is σ = 2686025160. Its totient is φ = 298598400.
The previous prime is 896292851. The next prime is 896292877. The reversal of 896292864 is 468292698.
It is a happy number.
896292864 is a `hidden beast` number, since 8 + 9 + 629 + 2 + 8 + 6 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (896292851) and next prime (896292877).
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 896292864.
It is a congruent number.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 496764 + ... + 498564.
Almost surely, 2896292864 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 896292864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343012580).
896292864 is an abundant number, since it is smaller than the sum of its proper divisors (1789732296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
896292864 is an equidigital number, since it uses as much as digits as its factorization.
896292864 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1838 (or 1806 counting only the distinct ones).
The product of its digits is 2985984, while the sum is 54.
The square root of 896292864 is about 29938.1506442866. The cubic root of 896292864 is about 964.1619305235.
The spelling of 896292864 in words is "eight hundred ninety-six million, two hundred ninety-two thousand, eight hundred sixty-four".
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