Search a number
-
+
5216256 = 21132283
BaseRepresentation
bin10011111001100000000000
3100211000100200
4103321200000
52313410011
6303445200
762223513
oct23714000
910730320
105216256
112a43061
1218b6800
131108356
1499ad7a
156d0856
hex4f9800

5216256 has 72 divisors (see below), whose sum is σ = 15118740. Its totient is φ = 1732608.

The previous prime is 5216251. The next prime is 5216269. The reversal of 5216256 is 6526125.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5216251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18291 + ... + 18573.

Almost surely, 25216256 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 5216256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7559370).

5216256 is an abundant number, since it is smaller than the sum of its proper divisors (9902484).

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

5216256 is a wasteful number, since it uses less digits than its factorization.

5216256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 288 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 5216256 is about 2283.9124326471. The cubic root of 5216256 is about 173.4281663835.

The spelling of 5216256 in words is "five million, two hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 283 288 384 512 566 576 768 849 1024 1132 1152 1536 1698 2048 2264 2304 2547 3072 3396 4528 4608 5094 6144 6792 9056 9216 10188 13584 18112 18432 20376 27168 36224 40752 54336 72448 81504 108672 144896 163008 217344 289792 326016 434688 579584 652032 869376 1304064 1738752 2608128 5216256