Search a number
-
+
2484 = 223323
BaseRepresentation
bin100110110100
310102000
4212310
534414
615300
710146
oct4664
93360
102484
111959
121530
131191
14c96
15b09
hex9b4

2484 has 24 divisors (see below), whose sum is σ = 6720. Its totient is φ = 792.

The previous prime is 2477. The next prime is 2503. The reversal of 2484 is 4842.

It can be divided in two parts, 248 and 4, that added together give a palindrome (252).

It is a happy number.

2484 is nontrivially palindromic in base 8.

2484 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

2484 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97 + ... + 119.

It is an arithmetic number, because the mean of its divisors is an integer number (280).

2484 is the 27-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360).

2484 is an abundant number, since it is smaller than the sum of its proper divisors (4236).

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

2484 is a wasteful number, since it uses less digits than its factorization.

2484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 28 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 2484 is about 49.8397431775. The cubic root of 2484 is about 13.5430723064.

The spelling of 2484 in words is "two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484