Base | Representation |
---|---|
bin | 10001000000000… |
… | …000000000000000 |
3 | 201212200022020022 |
4 | 101000000000000 |
5 | 1041003301142 |
6 | 44145033012 |
7 | 10032160553 |
oct | 2100000000 |
9 | 655608208 |
10 | 285212672 |
11 | 136aa4558 |
12 | 7b625768 |
13 | 471211c4 |
14 | 29c4469a |
15 | 1a08c6d2 |
hex | 11000000 |
285212672 has 50 divisors (see below), whose sum is σ = 603979758. Its totient is φ = 134217728.
The previous prime is 285212659. The next prime is 285212677. The reversal of 285212672 is 276212582.
It can be written as a sum of positive squares in only one way, i.e., 268435456 + 16777216 = 16384^2 + 4096^2 .
It is a nialpdrome in base 8 and base 16.
It is a zygodrome in base 16.
It is not an unprimeable number, because it can be changed into a prime (285212677) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (2) of ones.
In principle, a polygon with 285212672 sides can be constructed with ruler and compass.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16777208 + ... + 16777224.
Almost surely, 2285212672 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 285212672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301989879).
285212672 is an abundant number, since it is smaller than the sum of its proper divisors (318767086).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
285212672 is an frugal number, since it uses more digits than its factorization.
285212672 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 65 (or 19 counting only the distinct ones).
The product of its digits is 26880, while the sum is 35.
The square root of 285212672 is about 16888.2406425299. The cubic root of 285212672 is about 658.2480872085.
The spelling of 285212672 in words is "two hundred eighty-five million, two hundred twelve thousand, six hundred seventy-two".
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