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8448 = 28311
BaseRepresentation
bin10000100000000
3102120220
42010000
5232243
6103040
733426
oct20400
912526
108448
116390
124a80
133acb
143116
152783
hex2100

8448 has 36 divisors (see below), whose sum is σ = 24528. Its totient is φ = 2560.

The previous prime is 8447. The next prime is 8461.

8448 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

Its product of digits (1024) is a multiple of the sum of its prime divisors (16).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (8443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 763 + ... + 773.

28448 is an apocalyptic number.

8448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12264).

8448 is an abundant number, since it is smaller than the sum of its proper divisors (16080).

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

8448 is a wasteful number, since it uses less digits than its factorization.

8448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30 (or 16 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 8448 is about 91.9130023446. The cubic root of 8448 is about 20.3665734786.

The spelling of 8448 in words is "eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448