| Base | Representation |
|---|---|
| bin | 1001110101111… |
| … | …1110010000000 |
| 3 | 2212200120211011 |
| 4 | 2131133302000 |
| 5 | 41032134114 |
| 6 | 4032530304 |
| 7 | 1010634430 |
| oct | 235376200 |
| 9 | 85616734 |
| 10 | 41286784 |
| 11 | 2133a410 |
| 12 | 119b0994 |
| 13 | 8727466 |
| 14 | 56aa2c0 |
| 15 | 39581c4 |
| hex | 275fc80 |
41286784 has 128 divisors (see below), whose sum is σ = 105753600. Its totient is φ = 15590400.
The previous prime is 41286781. The next prime is 41286787. The reversal of 41286784 is 48768214.
41286784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (41286781) and next prime (41286787).
It is a tau number, because it is divible by the number of its divisors (128).
It is not an unprimeable number, because it can be changed into a prime (41286781) 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 15 ways as a sum of consecutive naturals, for example, 581469 + ... + 581539.
It is an arithmetic number, because the mean of its divisors is an integer number (826200).
Almost surely, 241286784 is an apocalyptic number.
41286784 is a gapful number since it is divisible by the number (44) 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 41286784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52876800).
41286784 is an abundant number, since it is smaller than the sum of its proper divisors (64466816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41286784 is a wasteful number, since it uses less digits than its factorization.
41286784 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 162 (or 150 counting only the distinct ones).
The product of its digits is 86016, while the sum is 40.
The square root of 41286784 is about 6425.4792817346. The cubic root of 41286784 is about 345.6238352331.
The spelling of 41286784 in words is "forty-one million, two hundred eighty-six thousand, seven hundred eighty-four".
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