Base | Representation |
---|---|
bin | 1001111111001… |
… | …1110000010000 |
3 | 2220211101020011 |
4 | 2133303300100 |
5 | 41211033010 |
6 | 4053524304 |
7 | 1016040451 |
oct | 237636020 |
9 | 86741204 |
10 | 41892880 |
11 | 21713817 |
12 | 12043694 |
13 | 88aa2b3 |
14 | 57c7128 |
15 | 3a27a8a |
hex | 27f3c10 |
41892880 has 40 divisors (see below), whose sum is σ = 100040472. Its totient is φ = 16303104.
The previous prime is 41892863. The next prime is 41892887. The reversal of 41892880 is 8829814.
41892880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 9265936 + 32626944 = 3044^2 + 5712^2 .
It is a tau number, because it is divible by the number of its divisors (40).
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 (41892887) 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, 4117 + ... + 10036.
Almost surely, 241892880 is an apocalyptic number.
41892880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
41892880 is an abundant number, since it is smaller than the sum of its proper divisors (58147592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41892880 is a wasteful number, since it uses less digits than its factorization.
41892880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14203 (or 14197 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 40.
The square root of 41892880 is about 6472.4709346586. The cubic root of 41892880 is about 347.3068954555.
The spelling of 41892880 in words is "forty-one million, eight hundred ninety-two thousand, eight hundred eighty".
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