The number 48040
48040 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1201. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1201, 2402, 4804, 6005, 9608, 12010, 24020, 48040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48040 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48040 is composite. Its prime factorisation is
- 3
The divisors add up to 108180; without 48040 itself that is 60140, so 48040 is abundant (60140 is more than 48040). Euler's totient φ(48040) = 19200 numbers up to 48040 share no factor with it.
- 4
The digits of 48040 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48040 = 2^{3} \times 5 \times 1201 \]48040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 108180 |
| Euler totient φ(n) | 19200 |
| Square | 2307841600 |
| Cube | 110868710464000 |
| Square root | 219.180291 (= 2√12010) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.804 × |
48040 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and forty |
| Binary (base 2) | 1011101110101000 |
| Octal (base 8) | 135650 |
| Hexadecimal (base 16) | BBA8 |
| Base 3 | 2102220021 |
| As time | 48040 seconds = 13 h 20 min 40 s |
Is 48040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48040 ÷ 2 = 24020) | 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 (48040 ÷ 4 = 12010) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48040 ÷ 5 = 9608) | 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 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 (48040 ÷ 8 = 6005) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48040 ÷ 10 = 4804) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 48040 a prime number?
No. 48040 = × 5 × 1201, so it is divisible by 2.
What are the factors of 48040?
1, 2, 4, 5, 8, 10, 20, 40, 1201, 2402, 4804, 6005, 9608, 12010, 24020, 48040.
What is 48040 in binary?
1011101110101000 (hexadecimal BBA8, octal 135650).
What is the square root of 48040?
About 219.1803, exactly 2√12010.
Is 48040 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 48040?
It is a composite number with 16 divisors.