Base | Representation |
---|---|
bin | 11101010001110… |
… | …111100010000000 |
3 | 1021020022201111200 |
4 | 131101313202000 |
5 | 2001223120133 |
6 | 120424341200 |
7 | 15113220342 |
oct | 3521674200 |
9 | 1236281450 |
10 | 491223168 |
11 | 232312267 |
12 | 118614800 |
13 | 7aa011c7 |
14 | 4934d292 |
15 | 2d1d2913 |
hex | 1d477880 |
491223168 has 72 divisors (see below), whose sum is σ = 1415713845. Its totient is φ = 163490304.
The previous prime is 491223149. The next prime is 491223181. The reversal of 491223168 is 861322194.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
491223168 is a `hidden beast` number, since 491 + 2 + 2 + 3 + 168 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 453178944 + 38044224 = 21288^2 + 6168^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=15672.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
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 8 ways as a sum of consecutive naturals, for example, 751930 + ... + 752582.
Almost surely, 2491223168 is an apocalyptic number.
491223168 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 491223168
491223168 is an abundant number, since it is smaller than the sum of its proper divisors (924490677).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
491223168 is an frugal number, since it uses more digits than its factorization.
491223168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1326 (or 658 counting only the distinct ones).
The product of its digits is 20736, while the sum is 36.
The square root of 491223168 is about 22163.5549495111. The cubic root of 491223168 is about 789.0289666340.
The spelling of 491223168 in words is "four hundred ninety-one million, two hundred twenty-three thousand, one hundred sixty-eight".
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