The number 64448
64448 is a composite number with 28 divisors. Its prime factorisation is × 19 × 53. Divisors (28): 1, 2, 4, 8, 16, 19, 32, 38, 53, 64, 76, 106, 152, 212, 304, 424 … 64448.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
64448 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
64448 is composite. Its prime factorisation is
- 3
The divisors add up to 137160; without 64448 itself that is 72712, so 64448 is abundant (72712 is more than 64448). Euler's totient φ(64448) = 29952 numbers up to 64448 share no factor with it.
- 4
The digits of 64448 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 64448 = 2^{6} \times 19 \times 53 \]64448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 137160 |
| Euler totient φ(n) | 29952 |
| Square | 4153544704 |
| Cube | 267687649083392 |
| Square root | 253.866106 (= 8√1007) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 99 |
| Scientific notation | 6.4448 × |
64448 in other forms
| Form | Value |
|---|---|
| In words | sixty-four thousand four hundred and forty-eight |
| Binary (base 2) | 1111101111000000 |
| Octal (base 8) | 175700 |
| Hexadecimal (base 16) | FBC0 |
| Base 3 | 10021101222 |
| As time | 64448 seconds = 17 h 54 min 8 s |
Is 64448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (64448 ÷ 2 = 32224) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (64448 ÷ 4 = 16112) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (64448 ÷ 8 = 8056) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 64448 a prime number?
No. 64448 = × 19 × 53, so it is divisible by 2.
What are the factors of 64448?
1, 2, 4, 8, 16, 19, 32, 38, 53, 64, 76, 106, 152, 212, 304, 424, 608, 848, 1007, 1216, 1696, 2014, 3392, 4028, 8056, 16112, 32224, 64448.
What is 64448 in binary?
1111101111000000 (hexadecimal FBC0, octal 175700).
What is the square root of 64448?
About 253.8661, exactly 8√1007.
Is 64448 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 64448?
It is a composite number with 28 divisors.