Search a number
-
+
4812 = 223401
BaseRepresentation
bin1001011001100
320121020
41023030
5123222
634140
720013
oct11314
96536
104812
113685
122950
132262
141a7a
15165c
hex12cc

4812 has 12 divisors (see below), whose sum is σ = 11256. Its totient is φ = 1600.

The previous prime is 4801. The next prime is 4813. The reversal of 4812 is 2184.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 4791 and 4800.

It is not an unprimeable number, because it can be changed into a prime (4813) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 189 + ... + 212.

It is an arithmetic number, because the mean of its divisors is an integer number (938).

24812 is an apocalyptic number.

It is an amenable number.

4812 is an abundant number, since it is smaller than the sum of its proper divisors (6444).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5628).

4812 is a wasteful number, since it uses less digits than its factorization.

4812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 406 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 4812 is about 69.3685807841. The cubic root of 4812 is about 16.8826988190.

Adding to 4812 its reverse (2184), we get a palindrome (6996).

Subtracting from 4812 its reverse (2184), we obtain a triangular number (2628 = T72).

It can be divided in two parts, 48 and 12, that multiplied together give a square (576 = 242).

The spelling of 4812 in words is "four thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 12 401 802 1203 1604 2406 4812