Search a number
-
+
5223764 = 22713113127
BaseRepresentation
bin10011111011010101010100
3100211101122202
4103323111110
52314130024
6303544032
762254430
oct23732524
910741582
105223764
112a48767
1218bb018
13110b8b0
1499d9c0
156d2bae
hex4fb554

5223764 has 48 divisors (see below), whose sum is σ = 11440128. Its totient is φ = 2032128.

The previous prime is 5223763. The next prime is 5223773. The reversal of 5223764 is 4673225.

5223764 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5223763) 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, 41069 + ... + 41195.

It is an arithmetic number, because the mean of its divisors is an integer number (238336).

Almost surely, 25223764 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 5223764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5720064).

5223764 is an abundant number, since it is smaller than the sum of its proper divisors (6216364).

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

5223764 is a wasteful number, since it uses less digits than its factorization.

5223764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 262 counting only the distinct ones).

The product of its digits is 10080, while the sum is 29.

The square root of 5223764 is about 2285.5555123427. Note that the first 4 decimals coincide. The cubic root of 5223764 is about 173.5113342373.

Adding to 5223764 its reverse (4673225), we get a palindrome (9896989).

The spelling of 5223764 in words is "five million, two hundred twenty-three thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 113 127 182 226 254 364 452 508 791 889 1469 1582 1651 1778 2938 3164 3302 3556 5876 6604 10283 11557 14351 20566 23114 28702 41132 46228 57404 100457 186563 200914 373126 401828 746252 1305941 2611882 5223764