Base | Representation |
---|---|
bin | 1001011110100001000000 |
3 | 11200012210200 |
4 | 21132201000 |
5 | 1113444123 |
6 | 125125200 |
7 | 30054552 |
oct | 11364100 |
9 | 4605720 |
10 | 2484288 |
11 | 1447534 |
12 | 9b9800 |
13 | 68c9c1 |
14 | 4894d2 |
15 | 341143 |
hex | 25e840 |
2484288 has 84 divisors (see below), whose sum is σ = 7528560. Its totient is φ = 781056.
The previous prime is 2484271. The next prime is 2484289. The reversal of 2484288 is 8824842.
2484288 is nontrivially palindromic in base 15.
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 not an unprimeable number, because it can be changed into a prime (2484289) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10831 + ... + 11057.
22484288 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 2484288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764280).
2484288 is an abundant number, since it is smaller than the sum of its proper divisors (5044272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2484288 is a wasteful number, since it uses less digits than its factorization.
2484288 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 264 (or 251 counting only the distinct ones).
The product of its digits is 32768, while the sum is 36.
The square root of 2484288 is about 1576.1624281780. The cubic root of 2484288 is about 135.4359568996.
It can be divided in two parts, 2484 and 288, that added together give a palindrome (2772).
The spelling of 2484288 in words is "two million, four hundred eighty-four thousand, two hundred eighty-eight".
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