The number 64449
64449 is a composite number with 32 divisors. Its prime factorisation is × 7 × 11 × 31. Divisors (32): 1, 3, 7, 9, 11, 21, 27, 31, 33, 63, 77, 93, 99, 189, 217, 231 … 64449.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 64449: a Harshad number: divisible by its digit sum 27.
- 2
64449 is composite. Its prime factorisation is
- 3
The divisors add up to 122880; without 64449 itself that is 58431, so 64449 is deficient (58431 is less than 64449). Euler's totient φ(64449) = 32400 numbers up to 64449 share no factor with it.
- 4
The digits of 64449 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 64449 = 3^{3} \times 7 \times 11 \times 31 \]64449 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 122880 |
| Euler totient φ(n) | 32400 |
| Square | 4153673601 |
| Cube | 267700109910849 |
| Square root | 253.868076 (= 3√7161) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 99 |
| Scientific notation | 6.4449 × |
64449 in other forms
| Form | Value |
|---|---|
| In words | sixty-four thousand four hundred and forty-nine |
| Binary (base 2) | 1111101111000001 |
| Octal (base 8) | 175701 |
| Hexadecimal (base 16) | FBC1 |
| Base 3 | 10021102000 |
| As time | 64449 seconds = 17 h 54 min 9 s |
Is 64449 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (64449 ÷ 3 = 21483) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (64449 ÷ 7 = 9207) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (64449 ÷ 9 = 7161) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (64449 ÷ 11 = 5859) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 64449 a prime number?
No. 64449 = × 7 × 11 × 31, so it is divisible by 3.
What are the factors of 64449?
1, 3, 7, 9, 11, 21, 27, 31, 33, 63, 77, 93, 99, 189, 217, 231, 279, 297, 341, 651, 693, 837, 1023, 1953, 2079, 2387, 3069, 5859, 7161, 9207, 21483, 64449.
What is 64449 in binary?
1111101111000001 (hexadecimal FBC1, octal 175701).
What is the square root of 64449?
About 253.8681, exactly 3√7161.
Is 64449 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 64449?
64449 is a Harshad number: divisible by its digit sum 27.