Search a number
-
+
4836 = 2231331
BaseRepresentation
bin1001011100100
320122010
41023210
5123321
634220
720046
oct11344
96563
104836
1136a7
122970
132280
141a96
151676
hex12e4

4836 has 24 divisors (see below), whose sum is σ = 12544. Its totient is φ = 1440.

The previous prime is 4831. The next prime is 4861. The reversal of 4836 is 6384.

4836 is nontrivially palindromic in base 5.

It is a plaindrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4836.

It is not an unprimeable number, because it can be changed into a prime (4831) 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, 141 + ... + 171.

24836 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 4836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6272).

4836 is an abundant number, since it is smaller than the sum of its proper divisors (7708).

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

4836 is a wasteful number, since it uses less digits than its factorization.

4836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 49 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 4836 is about 69.5413546029. The cubic root of 4836 is about 16.9107199473.

It can be divided in two parts, 48 and 36, that multiplied together give a cube (1728 = 123).

The spelling of 4836 in words is "four thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 806 1209 1612 2418 4836