Base | Representation |
---|---|
bin | 10001000100000… |
… | …100000110000000 |
3 | 201221200102121111 |
4 | 101010010012000 |
5 | 1041241344031 |
6 | 44223533104 |
7 | 10044215533 |
oct | 2104040600 |
9 | 657612544 |
10 | 286278016 |
11 | 137661a02 |
12 | 7ba5a194 |
13 | 4740509b |
14 | 2a040a1a |
15 | 1a1ed1b1 |
hex | 11104180 |
286278016 has 64 divisors (see below), whose sum is σ = 611938800. Its totient is φ = 132986880.
The previous prime is 286278007. The next prime is 286278019. The reversal of 286278016 is 610872682.
It is a tau number, because it is divible by the number of its divisors (64).
It is a self number, because there is not a number n which added to its sum of digits gives 286278016.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (286278019) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127786 + ... + 130006.
Almost surely, 2286278016 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 286278016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305969400).
286278016 is an abundant number, since it is smaller than the sum of its proper divisors (325660784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
286278016 is a wasteful number, since it uses less digits than its factorization.
286278016 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2307 (or 2295 counting only the distinct ones).
The product of its (nonzero) digits is 64512, while the sum is 40.
The square root of 286278016 is about 16919.7522440490. The cubic root of 286278016 is about 659.0666451896.
The spelling of 286278016 in words is "two hundred eighty-six million, two hundred seventy-eight thousand, sixteen".
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