Search a number
-
+
5726816 = 252331251
BaseRepresentation
bin10101110110001001100000
3101202221201022
4111312021200
52431224231
6322425012
766451154
oct25661140
911687638
105726816
113261707
121b02168
131256864
14a91064
15781c7b
hex576260

5726816 has 48 divisors (see below), whose sum is σ = 12192768. Its totient is φ = 2640000.

The previous prime is 5726813. The next prime is 5726827. The reversal of 5726816 is 6186275.

Its product of digits (20160) is a multiple of the sum of its prime factors (315).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5726813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22691 + ... + 22941.

It is an arithmetic number, because the mean of its divisors is an integer number (254016).

Almost surely, 25726816 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 5726816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096384).

5726816 is an abundant number, since it is smaller than the sum of its proper divisors (6465952).

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

5726816 is a wasteful number, since it uses less digits than its factorization.

5726816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 307 counting only the distinct ones).

The product of its digits is 20160, while the sum is 35.

The square root of 5726816 is about 2393.0766807606. The cubic root of 5726816 is about 178.9112883976.

The spelling of 5726816 in words is "five million, seven hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 23 31 32 46 62 92 124 184 248 251 368 496 502 713 736 992 1004 1426 2008 2852 4016 5704 5773 7781 8032 11408 11546 15562 22816 23092 31124 46184 62248 92368 124496 178963 184736 248992 357926 715852 1431704 2863408 5726816