The number 48640
48640 is a composite number with 40 divisors. Its prime factorisation is × 5 × 19. Divisors (40): 1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 64, 76, 80, 95 … 48640.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48640 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48640 is composite. Its prime factorisation is
- 3
The divisors add up to 122760; without 48640 itself that is 74120, so 48640 is abundant (74120 is more than 48640). Euler's totient φ(48640) = 18432 numbers up to 48640 share no factor with it.
- 4
The digits of 48640 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48640 = 2^{9} \times 5 \times 19 \]48640 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 122760 |
| Euler totient φ(n) | 18432 |
| Square | 2365849600 |
| Cube | 115074924544000 |
| Square root | 220.544780 (= 16√190) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.864 × |
48640 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand six hundred and forty |
| Binary (base 2) | 1011111000000000 |
| Octal (base 8) | 137000 |
| Hexadecimal (base 16) | BE00 |
| Base 3 | 2110201111 |
| As time | 48640 seconds = 13 h 30 min 40 s |
Is 48640 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48640 ÷ 2 = 24320) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48640 ÷ 4 = 12160) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48640 ÷ 5 = 9728) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (48640 ÷ 8 = 6080) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48640 ÷ 10 = 4864) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48640 a prime number?
No. 48640 = × 5 × 19, so it is divisible by 2.
What are the factors of 48640?
1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 64, 76, 80, 95, 128, 152, 160, 190, 256, 304, 320, 380, 512, 608, 640, 760, 1216, 1280, 1520, 2432, 2560, 3040, 4864, 6080, 9728, 12160, 24320, 48640.
What is 48640 in binary?
1011111000000000 (hexadecimal BE00, octal 137000).
What is the square root of 48640?
About 220.5448, exactly 16√190.
Is 48640 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 48640?
It is a composite number with 40 divisors.