Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
5236 = 2271117
BaseRepresentation
bin1010001110100
321011221
41101310
5131421
640124
721160
oct12164
97157
105236
113a30
123044
1324ca
141ca0
151841
hex1474

5236 has 24 divisors (see below), whose sum is σ = 12096. Its totient is φ = 1920.

The previous prime is 5233. The next prime is 5237. The reversal of 5236 is 6325.

5236 = T11 + T12 + ... + T31.

It is a d-powerful number, because it can be written as 55 + 33 + 211 + 62 .

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5231) 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, 300 + ... + 316.

It is an arithmetic number, because the mean of its divisors is an integer number (504).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048).

5236 is an abundant number, since it is smaller than the sum of its proper divisors (6860).

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

5236 is a wasteful number, since it uses less digits than its factorization.

5236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 37 counting only the distinct ones).

The product of its digits is 180, while the sum is 16.

The square root of 5236 is about 72.3602100605. The cubic root of 5236 is about 17.3646704643.

Subtracting 5236 from its reverse (6325), we obtain a square (1089 = 332).

It can be divided in two parts, 523 and 6, that added together give a square (529 = 232).

The spelling of 5236 in words is "five thousand, two hundred thirty-six".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 308 374 476 748 1309 2618 5236