Search a number
-
+
5281128 = 2332411789
BaseRepresentation
bin10100001001010101101000
3100221022100100
4110021111220
52322444003
6305105400
762613606
oct24112550
910838310
105281128
112a87876
121928260
13112ba38
149b6876
156e4ba3
hex509568

5281128 has 48 divisors (see below), whose sum is σ = 14660100. Its totient is φ = 1716480.

The previous prime is 5281123. The next prime is 5281139. The reversal of 5281128 is 8211825.

It can be written as a sum of positive squares in 2 ways, for example, as 5280804 + 324 = 2298^2 + 18^2 .

It is not an unprimeable number, because it can be changed into a prime (5281123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2058 + ... + 3846.

Almost surely, 25281128 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 5281128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7330050).

5281128 is an abundant number, since it is smaller than the sum of its proper divisors (9378972).

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

5281128 is a wasteful number, since it uses less digits than its factorization.

5281128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1835 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

The square root of 5281128 is about 2298.0704950023. The cubic root of 5281128 is about 174.1441532321.

The spelling of 5281128 in words is "five million, two hundred eighty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 1789 2952 3578 5367 7156 10734 14312 16101 21468 32202 42936 64404 73349 128808 146698 220047 293396 440094 586792 660141 880188 1320282 1760376 2640564 5281128