Base | Representation |
---|---|
bin | 10001000111100… |
… | …100001110010000 |
3 | 202000102001220200 |
4 | 101013210032100 |
5 | 1042010233143 |
6 | 44255335200 |
7 | 10055061156 |
oct | 2107441620 |
9 | 660361820 |
10 | 287196048 |
11 | 138129707 |
12 | 80221500 |
13 | 47666bb9 |
14 | 2a1dd3d6 |
15 | 1a3301d3 |
hex | 111e4390 |
287196048 has 120 divisors (see below), whose sum is σ = 841222200. Its totient is φ = 91348992.
The previous prime is 287196043. The next prime is 287196053. The reversal of 287196048 is 840691782.
287196048 is a `hidden beast` number, since 28 + 7 + 19 + 604 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (287196043) and next prime (287196053).
It can be written as a sum of positive squares in 4 ways, for example, as 8573184 + 278622864 = 2928^2 + 16692^2 .
It is a junction number, because it is equal to n+sod(n) for n = 287195994 and 287196012.
It is not an unprimeable number, because it can be changed into a prime (287196043) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404718 + ... + 405426.
It is an arithmetic number, because the mean of its divisors is an integer number (7010185).
Almost surely, 2287196048 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 287196048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420611100).
287196048 is an abundant number, since it is smaller than the sum of its proper divisors (554026152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
287196048 is a wasteful number, since it uses less digits than its factorization.
287196048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 849 (or 840 counting only the distinct ones).
The product of its (nonzero) digits is 193536, while the sum is 45.
The square root of 287196048 is about 16946.8595320785. The cubic root of 287196048 is about 659.7703884478.
The spelling of 287196048 in words is "two hundred eighty-seven million, one hundred ninety-six thousand, forty-eight".
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