The number 40448
40448 is a composite number with 20 divisors. Its prime factorisation is × 79. Divisors (20): 1, 2, 4, 8, 16, 32, 64, 79, 128, 158, 256, 316, 512, 632, 1264, 2528 … 40448.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40448 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40448 is composite. Its prime factorisation is
- 3
The divisors add up to 81840; without 40448 itself that is 41392, so 40448 is abundant (41392 is more than 40448). Euler's totient φ(40448) = 19968 numbers up to 40448 share no factor with it.
- 4
The digits of 40448 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40448 = 2^{9} \times 79 \]40448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 81840 |
| Euler totient φ(n) | 19968 |
| Square | 1636040704 |
| Cube | 66174574395392 |
| Square root | 201.116881 (= 16√158) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.0448 × |
40448 in other forms
| Form | Value |
|---|---|
| In words | forty thousand four hundred and forty-eight |
| Binary (base 2) | 1001111000000000 |
| Octal (base 8) | 117000 |
| Hexadecimal (base 16) | 9E00 |
| Base 3 | 2001111002 |
| As time | 40448 seconds = 11 h 14 min 8 s |
Is 40448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40448 ÷ 2 = 20224) | 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 (40448 ÷ 4 = 10112) | 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 2) | 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 (40448 ÷ 8 = 5056) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 1) | 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 40448 a prime number?
No. 40448 = × 79, so it is divisible by 2.
What are the factors of 40448?
1, 2, 4, 8, 16, 32, 64, 79, 128, 158, 256, 316, 512, 632, 1264, 2528, 5056, 10112, 20224, 40448.
What is 40448 in binary?
1001111000000000 (hexadecimal 9E00, octal 117000).
What is the square root of 40448?
About 201.1169, exactly 16√158.
Is 40448 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 40448?
It is a composite number with 20 divisors.