Base | Representation |
---|---|
bin | 10110000011110100000000 |
3 | 101212210111012 |
4 | 112003310000 |
5 | 2440022114 |
6 | 323540052 |
7 | 100103300 |
oct | 26036400 |
9 | 11783435 |
10 | 5782784 |
11 | 329a767 |
12 | 1b2a628 |
13 | 1276187 |
14 | aa7600 |
15 | 79363e |
hex | 583d00 |
5782784 has 54 divisors (see below), whose sum is σ = 13456674. Its totient is φ = 2472960.
The previous prime is 5782759. The next prime is 5782787. The reversal of 5782784 is 4872875.
It can be written as a sum of positive squares in only one way, i.e., 4528384 + 1254400 = 2128^2 + 1120^2 .
It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.
It is a nialpdrome in base 14.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5782787) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12314 + ... + 12774.
Almost surely, 25782784 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 5782784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6728337).
5782784 is an abundant number, since it is smaller than the sum of its proper divisors (7673890).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5782784 is an equidigital number, since it uses as much as digits as its factorization.
5782784 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 491 (or 470 counting only the distinct ones).
The product of its digits is 125440, while the sum is 41.
The square root of 5782784 is about 2404.7419820014. The cubic root of 5782784 is about 179.4922315159.
Subtracting from 5782784 its reverse (4872875), we obtain a palindrome (909909).
The spelling of 5782784 in words is "five million, seven hundred eighty-two thousand, seven hundred eighty-four".
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