Base | Representation |
---|---|
bin | 1001111110111… |
… | …1110101000000 |
3 | 2220210120011121 |
4 | 2133233311000 |
5 | 41210024200 |
6 | 4053322024 |
7 | 1015642540 |
oct | 237576500 |
9 | 86716147 |
10 | 41876800 |
11 | 21702729 |
12 | 12036314 |
13 | 88a2b94 |
14 | 57c1320 |
15 | 3a22e1a |
hex | 27efd40 |
41876800 has 84 divisors (see below), whose sum is σ = 117795040. Its totient is φ = 14353920.
The previous prime is 41876789. The next prime is 41876803. The reversal of 41876800 is 867814.
It is a happy number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (41876803) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9331 + ... + 13069.
Almost surely, 241876800 is an apocalyptic number.
41876800 is a gapful number since it is divisible by the number (40) 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 41876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58897520).
41876800 is an abundant number, since it is smaller than the sum of its proper divisors (75918240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41876800 is a wasteful number, since it uses less digits than its factorization.
41876800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3768 (or 3753 counting only the distinct ones).
The product of its (nonzero) digits is 10752, while the sum is 34.
The square root of 41876800 is about 6471.2286314115. The cubic root of 41876800 is about 347.2624534599.
The spelling of 41876800 in words is "forty-one million, eight hundred seventy-six thousand, eight hundred".
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