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5685824 = 26731217
BaseRepresentation
bin10101101100001001000000
3101200212111002
4111230021000
52423421244
6321511132
766220514
oct25541100
911625432
105685824
113233931
121aa24a8
131240cc1
14a80144
15774a4e
hex56c240

5685824 has 28 divisors (see below), whose sum is σ = 11446764. Its totient is φ = 2801664.

The previous prime is 5685809. The next prime is 5685829. The reversal of 5685824 is 4285865.

It can be written as a sum of positive squares in 2 ways, for example, as 2560000 + 3125824 = 1600^2 + 1768^2 .

It is not an unprimeable number, because it can be changed into a prime (5685829) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4064 + ... + 5280.

It is an arithmetic number, because the mean of its divisors is an integer number (408813).

Almost surely, 25685824 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 5685824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5723382).

5685824 is an abundant number, since it is smaller than the sum of its proper divisors (5760940).

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

5685824 is a wasteful number, since it uses less digits than its factorization.

5685824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1292 counting only the distinct ones).

The product of its digits is 76800, while the sum is 38.

The square root of 5685824 is about 2384.4965925746. The cubic root of 5685824 is about 178.4833891962.

The spelling of 5685824 in words is "five million, six hundred eighty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 73 146 292 584 1168 1217 2336 2434 4672 4868 9736 19472 38944 77888 88841 177682 355364 710728 1421456 2842912 5685824