| Base | Representation |
|---|---|
| bin | 100111110101111… |
| … | …011011000100000 |
| 3 | 1201120210200200000 |
| 4 | 213311323120200 |
| 5 | 2332110321123 |
| 6 | 150155100000 |
| 7 | 22364500554 |
| oct | 4765733040 |
| 9 | 1646720600 |
| 10 | 668448288 |
| 11 | 31335a102 |
| 12 | 167a41600 |
| 13 | a8643041 |
| 14 | 64ac3864 |
| 15 | 3da3db43 |
| hex | 27d7b620 |
668448288 has 288 divisors, whose sum is σ = 2113413120. Its totient is φ = 207463680.
The previous prime is 668448283. The next prime is 668448293. The reversal of 668448288 is 882844866.
668448288 is a `hidden beast` number, since 6 + 6 + 84 + 482 + 88 = 666.
It is an interprime number because it is at equal distance from previous prime (668448283) and next prime (668448293).
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×6684482882 = 893646227460261888, which contains 22 as substring.
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
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 not an unprimeable number, because it can be changed into a prime (668448281) 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, 11329603 + ... + 11329661.
It is an arithmetic number, because the mean of its divisors is an integer number (7338240).
Almost surely, 2668448288 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 668448288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056706560).
668448288 is an abundant number, since it is smaller than the sum of its proper divisors (1444964832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
668448288 is a wasteful number, since it uses less digits than its factorization.
668448288 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 162 (or 142 counting only the distinct ones).
The product of its digits is 4718592, while the sum is 54.
The square root of 668448288 is about 25854.3669038714. The cubic root of 668448288 is about 874.3579673356.
The spelling of 668448288 in words is "six hundred sixty-eight million, four hundred forty-eight thousand, two hundred eighty-eight".
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