Search a number
-
+
5283824 = 2471319191
BaseRepresentation
bin10100001001111111110000
3100221110001012
4110021333300
52323040244
6305130052
762624510
oct24117760
910843035
105283824
112a898a7
121929928
131130030
149b7840
156e589e
hex509ff0

5283824 has 80 divisors (see below), whose sum is σ = 13332480. Its totient is φ = 1969920.

The previous prime is 5283809. The next prime is 5283827. The reversal of 5283824 is 4283825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5283827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27569 + ... + 27759.

It is an arithmetic number, because the mean of its divisors is an integer number (166656).

Almost surely, 25283824 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 5283824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6666240).

5283824 is an abundant number, since it is smaller than the sum of its proper divisors (8048656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5283824 is a wasteful number, since it uses less digits than its factorization.

5283824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 232 counting only the distinct ones).

The product of its digits is 15360, while the sum is 32.

The square root of 5283824 is about 2298.6569992063. The cubic root of 5283824 is about 174.1737815469.

Subtracting from 5283824 its reverse (4283825), we obtain a palindrome (999999).

The spelling of 5283824 in words is "five million, two hundred eighty-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 52 56 76 91 104 112 133 152 182 191 208 247 266 304 364 382 494 532 728 764 988 1064 1337 1456 1528 1729 1976 2128 2483 2674 3056 3458 3629 3952 4966 5348 6916 7258 9932 10696 13832 14516 17381 19864 21392 25403 27664 29032 34762 39728 47177 50806 58064 69524 94354 101612 139048 188708 203224 278096 330239 377416 406448 660478 754832 1320956 2641912 5283824