Search a number
-
+
5267736 = 2332233181
BaseRepresentation
bin10100000110000100011000
3100220121222100
4110012010120
52322031421
6304523400
762526555
oct24060430
910817870
105267736
112a78801
121920560
131125906
149b1a2c
156e0c26
hex506118

5267736 has 48 divisors (see below), whose sum is σ = 14891760. Its totient is φ = 1679040.

The previous prime is 5267719. The next prime is 5267747. The reversal of 5267736 is 6377625.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5267736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66 + ... + 3246.

It is an arithmetic number, because the mean of its divisors is an integer number (310245).

Almost surely, 25267736 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 5267736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7445880).

5267736 is an abundant number, since it is smaller than the sum of its proper divisors (9624024).

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

5267736 is a wasteful number, since it uses less digits than its factorization.

5267736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216 (or 3209 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 5267736 is about 2295.1548967336. The cubic root of 5267736 is about 173.9968291138.

The spelling of 5267736 in words is "five million, two hundred sixty-seven thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 3181 6362 9543 12724 19086 25448 28629 38172 57258 73163 76344 114516 146326 219489 229032 292652 438978 585304 658467 877956 1316934 1755912 2633868 5267736