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6448 = 241331
BaseRepresentation
bin1100100110000
322211211
41210300
5201243
645504
724541
oct14460
98754
106448
114932
123894
132c20
1424c8
151d9d
hex1930

6448 has 20 divisors (see below), whose sum is σ = 13888. Its totient is φ = 2880.

The previous prime is 6427. The next prime is 6449. The reversal of 6448 is 8446.

6448 is an admirable number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (6449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 193 + ... + 223.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6944).

6448 is an abundant number, since it is smaller than the sum of its proper divisors (7440).

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

6448 is a wasteful number, since it uses less digits than its factorization.

6448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 46 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 6448 is about 80.2994395995. The cubic root of 6448 is about 18.6126556642.

It can be divided in two parts, 6 and 448, that added together give a palindrome (454).

The spelling of 6448 in words is "six thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 403 496 806 1612 3224 6448