Search a number
-
+
5285216 = 252343167
BaseRepresentation
bin10100001010010101100000
3100221111221202
4110022111200
52323111331
6305140332
762631536
oct24122540
910844852
105285216
112a8a952
12192a6a8
131130861
149b8156
156e5ecb
hex50a560

5285216 has 48 divisors (see below), whose sum is σ = 11176704. Its totient is φ = 2454144.

The previous prime is 5285209. The next prime is 5285219. The reversal of 5285216 is 6125825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5285219) 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, 31565 + ... + 31731.

It is an arithmetic number, because the mean of its divisors is an integer number (232848).

Almost surely, 25285216 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 5285216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588352).

5285216 is an abundant number, since it is smaller than the sum of its proper divisors (5891488).

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

5285216 is a wasteful number, since it uses less digits than its factorization.

5285216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its digits is 4800, while the sum is 29.

The square root of 5285216 is about 2298.9597647632. The cubic root of 5285216 is about 174.1890753074.

The spelling of 5285216 in words is "five million, two hundred eighty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 23 32 43 46 86 92 167 172 184 334 344 368 668 688 736 989 1336 1376 1978 2672 3841 3956 5344 7181 7682 7912 14362 15364 15824 28724 30728 31648 57448 61456 114896 122912 165163 229792 330326 660652 1321304 2642608 5285216