Base | Representation |
---|---|
bin | 1010111111101110010000 |
3 | 12102102222100 |
4 | 22333232100 |
5 | 1214214243 |
6 | 141440400 |
7 | 33333432 |
oct | 12775620 |
9 | 5372870 |
10 | 2882448 |
11 | 1699698 |
12 | b70100 |
13 | 79bcba |
14 | 550652 |
15 | 3be0d3 |
hex | 2bfb90 |
2882448 has 60 divisors (see below), whose sum is σ = 8300188. Its totient is φ = 933120.
The previous prime is 2882447. The next prime is 2882449. The reversal of 2882448 is 8442882.
It is an interprime number because it is at equal distance from previous prime (2882447) and next prime (2882449).
It can be written as a sum of positive squares in 2 ways, for example, as 1937664 + 944784 = 1392^2 + 972^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is an Ulam number.
It is not an unprimeable number, because it can be changed into a prime (2882441) 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 11 ways as a sum of consecutive naturals, for example, 5058 + ... + 5598.
22882448 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 2882448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150094).
2882448 is an abundant number, since it is smaller than the sum of its proper divisors (5417740).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2882448 is a wasteful number, since it uses less digits than its factorization.
2882448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 592 (or 583 counting only the distinct ones).
The product of its digits is 32768, while the sum is 36.
The square root of 2882448 is about 1697.7773705642. Note that the first 3 decimals coincide. The cubic root of 2882448 is about 142.3160322209.
The spelling of 2882448 in words is "two million, eight hundred eighty-two thousand, four hundred forty-eight".
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