| Base | Representation |
|---|---|
| bin | 11101010011101… |
| … | …001000101100000 |
| 3 | 1021021012100112100 |
| 4 | 131103221011200 |
| 5 | 2001333011123 |
| 6 | 120442330400 |
| 7 | 15120165360 |
| oct | 3523510540 |
| 9 | 1237170470 |
| 10 | 491688288 |
| 11 | 2325aa763 |
| 12 | 1187b9a00 |
| 13 | 7ab34b20 |
| 14 | 494309a0 |
| 15 | 2d275643 |
| hex | 1d4e9160 |
491688288 has 288 divisors, whose sum is σ = 1751270976. Its totient is φ = 127401984.
The previous prime is 491688283. The next prime is 491688293. The reversal of 491688288 is 882886194.
It is an interprime number because it is at equal distance from previous prime (491688283) and next prime (491688293).
It is a tau number, because it is divible by the number of its divisors (288).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (491688283) 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 47 ways as a sum of consecutive naturals, for example, 1913056 + ... + 1913312.
It is an arithmetic number, because the mean of its divisors is an integer number (6080802).
Almost surely, 2491688288 is an apocalyptic number.
491688288 is a gapful number since it is divisible by the number (48) 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 491688288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875635488).
491688288 is an abundant number, since it is smaller than the sum of its proper divisors (1259582688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
491688288 is a wasteful number, since it uses less digits than its factorization.
491688288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 366 (or 355 counting only the distinct ones).
The product of its digits is 1769472, while the sum is 54.
The square root of 491688288 is about 22174.0453684031. The cubic root of 491688288 is about 789.2779216286.
The spelling of 491688288 in words is "four hundred ninety-one million, six hundred eighty-eight thousand, two hundred eighty-eight".
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