Base | Representation |
---|---|
bin | 10000000100011001000000 |
3 | 21221000011200 |
4 | 100010121000 |
5 | 2034243123 |
6 | 230141200 |
7 | 50542503 |
oct | 20043100 |
9 | 7830150 |
10 | 4212288 |
11 | 2417833 |
12 | 14b1800 |
13 | b463a2 |
14 | 7b913a |
15 | 583143 |
hex | 404640 |
4212288 has 84 divisors (see below), whose sum is σ = 12362688. Its totient is φ = 1370880.
The previous prime is 4212287. The next prime is 4212317. The reversal of 4212288 is 8822124.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (4212283) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40845 + ... + 40947.
Almost surely, 24212288 is an apocalyptic number.
4212288 is a gapful number since it is divisible by the number (48) 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 4212288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181344).
4212288 is an abundant number, since it is smaller than the sum of its proper divisors (8150400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4212288 is a wasteful number, since it uses less digits than its factorization.
4212288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 192 (or 179 counting only the distinct ones).
The product of its digits is 2048, while the sum is 27.
The square root of 4212288 is about 2052.3859286206. The cubic root of 4212288 is about 161.5000591079.
The spelling of 4212288 in words is "four million, two hundred twelve thousand, two hundred eighty-eight".
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