Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
2448 = 243217
BaseRepresentation
bin100110010000
310100200
4212100
534243
615200
710065
oct4620
93320
102448
111926
121500
131164
14c6c
15ad3
hex990

2448 has 30 divisors (see below), whose sum is σ = 7254. Its totient is φ = 768.

The previous prime is 2447. The next prime is 2459. The reversal of 2448 is 8442.

It is a happy number.

2448 is nontrivially palindromic in base 5 and base 14.

It can be written as a sum of positive squares in only one way, i.e., 2304 + 144 = 48^2 + 12^2 .

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

It is a nude number because it is divisible by every one of its digits.

2448 is an undulating number in base 14.

It is a plaindrome in base 10.

It is a nialpdrome in base 9 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 2448.

It is not an unprimeable number, because it can be changed into a prime (2441) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 136 + ... + 152.

22448 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 2448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3627).

2448 is an abundant number, since it is smaller than the sum of its proper divisors (4806).

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

2448 is a wasteful number, since it uses less digits than its factorization.

2448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 22 counting only the distinct ones).

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

The square root of 2448 is about 49.4772675074. The cubic root of 2448 is about 13.4773282016.

2448 divided by its sum of digits (18) gives a triangular number (136 = T16).

Adding to 2448 its product of digits (256), we get a square (2704 = 522).

It can be divided in two parts, 244 and 8, that added together give a palindrome (252).

The spelling of 2448 in words is "two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448