Search a number
-
+
5228724 = 2231719271
BaseRepresentation
bin10011111100100010110100
3100211122110110
4103330202310
52314304344
6304023020
762305044
oct23744264
910748413
105228724
112a51466
121901a70
131110c27
149a1724
156d43b9
hex4fc8b4

5228724 has 72 divisors (see below), whose sum is σ = 13825728. Its totient is φ = 1532160.

The previous prime is 5228723. The next prime is 5228731. The reversal of 5228724 is 4278225.

Its product of digits (8960) is a multiple of the sum of its prime divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 5228691 and 5228700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5228723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73609 + ... + 73679.

It is an arithmetic number, because the mean of its divisors is an integer number (192024).

Almost surely, 25228724 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 5228724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6912864).

5228724 is an abundant number, since it is smaller than the sum of its proper divisors (8597004).

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

5228724 is a wasteful number, since it uses less digits than its factorization.

5228724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

The product of its digits is 8960, while the sum is 30.

The square root of 5228724 is about 2286.6403302662. The cubic root of 5228724 is about 173.5662336020.

The spelling of 5228724 in words is "five million, two hundred twenty-eight thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 71 76 102 114 142 204 213 228 284 323 361 426 646 722 852 969 1083 1207 1292 1349 1444 1938 2166 2414 2698 3621 3876 4047 4332 4828 5396 6137 7242 8094 12274 14484 16188 18411 22933 24548 25631 36822 45866 51262 68799 73644 76893 91732 102524 137598 153786 275196 307572 435727 871454 1307181 1742908 2614362 5228724