Base | Representation |
---|---|
bin | 1010111011100… |
… | …1000011101000 |
3 | 10012021020221011 |
4 | 2232321003220 |
5 | 43214044020 |
6 | 4314353304 |
7 | 1064456011 |
oct | 256710350 |
9 | 105236834 |
10 | 45846760 |
11 | 23974393 |
12 | 1342b834 |
13 | 9662b7b |
14 | 6136008 |
15 | 405935a |
hex | 2bb90e8 |
45846760 has 32 divisors (see below), whose sum is σ = 104700960. Its totient is φ = 18063936.
The previous prime is 45846727. The next prime is 45846769. The reversal of 45846760 is 6764854.
45846760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Smith number, since the sum of its digits (40) 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 (40).
It is not an unprimeable number, because it can be changed into a prime (45846769) 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 7 ways as a sum of consecutive naturals, for example, 5874 + ... + 11233.
It is an arithmetic number, because the mean of its divisors is an integer number (3271905).
Almost surely, 245846760 is an apocalyptic number.
45846760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
45846760 is an abundant number, since it is smaller than the sum of its proper divisors (58854200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45846760 is a wasteful number, since it uses less digits than its factorization.
45846760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17185 (or 17181 counting only the distinct ones).
The product of its (nonzero) digits is 161280, while the sum is 40.
The square root of 45846760 is about 6771.0235563023. The cubic root of 45846760 is about 357.9064703705.
The spelling of 45846760 in words is "forty-five million, eight hundred forty-six thousand, seven hundred sixty".
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