Base | Representation |
---|---|
bin | 111111100010111110000 |
3 | 10220210100210 |
4 | 13330113300 |
5 | 1013113123 |
6 | 112344120 |
7 | 23461545 |
oct | 7742760 |
9 | 3823323 |
10 | 2082288 |
11 | 11a24aa |
12 | 845040 |
13 | 57ba30 |
14 | 3c2bcc |
15 | 2b1e93 |
hex | 1fc5f0 |
2082288 has 80 divisors (see below), whose sum is σ = 5999616. Its totient is φ = 618240.
The previous prime is 2082281. The next prime is 2082341. The reversal of 2082288 is 8822802.
2082288 is a modest number, since divided by 2288 gives 208 as remainder.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2082281) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29293 + ... + 29363.
22082288 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 2082288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999808).
2082288 is an abundant number, since it is smaller than the sum of its proper divisors (3917328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2082288 is a wasteful number, since it uses less digits than its factorization.
2082288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 142 (or 136 counting only the distinct ones).
The product of its (nonzero) digits is 4096, while the sum is 30.
The square root of 2082288 is about 1443.0135134502. The cubic root of 2082288 is about 127.6968738574.
It can be divided in two parts, 20822 and 88, that added together give a triangular number (20910 = T204).
The spelling of 2082288 in words is "two million, eighty-two thousand, two hundred eighty-eight".
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