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16448 = 26257
BaseRepresentation
bin100000001000000
3211120012
410001000
51011243
6204052
765645
oct40100
924505
1016448
11113a3
129628
137643
145dcc
154d18
hex4040

16448 has 14 divisors (see below), whose sum is σ = 32766. Its totient is φ = 8192.

The previous prime is 16447. The next prime is 16451. The reversal of 16448 is 84461.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 16384 + 64 = 128^2 + 8^2 .

16448 is an undulating number in base 16.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16447) by changing a digit.

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

In principle, a polygon with 16448 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65 + ... + 192.

16448 is a Friedman number, since it can be written as (16+8^4)*4, using all its digits and the basic arithmetic operations.

216448 is an apocalyptic number.

It is an amenable number.

16448 is a deficient number, since it is larger than the sum of its proper divisors (16318).

16448 is an equidigital number, since it uses as much as digits as its factorization.

16448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 259 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 16448 is about 128.2497563351. The cubic root of 16448 is about 25.4314447189.

Adding to 16448 its sum of digits (23), we get a triangular number (16471 = T181).

It can be divided in two parts, 164 and 48, that added together give a palindrome (212).

The spelling of 16448 in words is "sixteen thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 257 514 1028 2056 4112 8224 16448