Base | Representation |
---|---|
bin | 11101011101101… |
… | …111110010010000 |
3 | 1021110011221010000 |
4 | 131131233302100 |
5 | 2003022242133 |
6 | 121015210000 |
7 | 15151540143 |
oct | 3535576220 |
9 | 1243157100 |
10 | 494337168 |
11 | 234049916 |
12 | 119676900 |
13 | 7b551700 |
14 | 4992005a |
15 | 2d5ea413 |
hex | 1d76fc90 |
494337168 has 300 divisors, whose sum is σ = 1617236148. Its totient is φ = 145566720.
The previous prime is 494337157. The next prime is 494337197. The reversal of 494337168 is 861733494.
494337168 is a `hidden beast` number, since 494 + 33 + 71 + 68 = 666.
It can be written as a sum of positive squares in 6 ways, for example, as 99440784 + 394896384 = 9972^2 + 19872^2 .
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
Its product of digits (435456) is a multiple of the sum of its prime factors (144).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8103858 + ... + 8103918.
Almost surely, 2494337168 is an apocalyptic number.
494337168 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 494337168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808618074).
494337168 is an abundant number, since it is smaller than the sum of its proper divisors (1122898980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
494337168 is a wasteful number, since it uses less digits than its factorization.
494337168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 144 (or 116 counting only the distinct ones).
The product of its digits is 435456, while the sum is 45.
The square root of 494337168 is about 22233.6944298513. The cubic root of 494337168 is about 790.6927470534.
The spelling of 494337168 in words is "four hundred ninety-four million, three hundred thirty-seven thousand, one hundred sixty-eight".
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