Base | Representation |
---|---|
bin | 11111010110100… |
… | …10111111110010 |
3 | 200022220012111000 |
4 | 33223102333302 |
5 | 1014312230432 |
6 | 42033102430 |
7 | 6342350610 |
oct | 1753227762 |
9 | 608805430 |
10 | 263008242 |
11 | 125508a92 |
12 | 740b7a16 |
13 | 426485a3 |
14 | 26d046b0 |
15 | 1815357c |
hex | fad2ff2 |
263008242 has 96 divisors (see below), whose sum is σ = 682796160. Its totient is φ = 73504800.
The previous prime is 263008231. The next prime is 263008259. The reversal of 263008242 is 242800362.
263008242 is a `hidden beast` number, since 2 + 630 + 0 + 8 + 24 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2603992 + ... + 2604092.
It is an arithmetic number, because the mean of its divisors is an integer number (7112460).
Almost surely, 2263008242 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 263008242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341398080).
263008242 is an abundant number, since it is smaller than the sum of its proper divisors (419787918).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
263008242 is a wasteful number, since it uses less digits than its factorization.
263008242 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 285 (or 196 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The square root of 263008242 is about 16217.5288499820. The cubic root of 263008242 is about 640.7025504436.
The spelling of 263008242 in words is "two hundred sixty-three million, eight thousand, two hundred forty-two".
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