The number 48488
48488 is a composite number with 32 divisors. Its prime factorisation is × 11 × 19 × 29. Divisors (32): 1, 2, 4, 8, 11, 19, 22, 29, 38, 44, 58, 76, 88, 116, 152, 209 … 48488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48488 is composite. Its prime factorisation is
- 3
The divisors add up to 108000; without 48488 itself that is 59512, so 48488 is abundant (59512 is more than 48488). Euler's totient φ(48488) = 20160 numbers up to 48488 share no factor with it.
- 4
The digits of 48488 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48488 = 2^{3} \times 11 \times 19 \times 29 \]48488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 108000 |
| Euler totient φ(n) | 20160 |
| Square | 2351086144 |
| Cube | 113999464950272 |
| Square root | 220.199909 (= 2√12122) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.8488 × |
48488 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and eighty-eight |
| Binary (base 2) | 1011110101101000 |
| Octal (base 8) | 136550 |
| Hexadecimal (base 16) | BD68 |
| Base 3 | 2110111212 |
| As time | 48488 seconds = 13 h 28 min 8 s |
Is 48488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48488 ÷ 2 = 24244) | 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 (48488 ÷ 4 = 12122) | 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 (48488 ÷ 8 = 6061) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | Yes (48488 ÷ 11 = 4408) | 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 48488 a prime number?
No. 48488 = × 11 × 19 × 29, so it is divisible by 2.
What are the factors of 48488?
1, 2, 4, 8, 11, 19, 22, 29, 38, 44, 58, 76, 88, 116, 152, 209, 232, 319, 418, 551, 638, 836, 1102, 1276, 1672, 2204, 2552, 4408, 6061, 12122, 24244, 48488.
What is 48488 in binary?
1011110101101000 (hexadecimal BD68, octal 136550).
What is the square root of 48488?
About 220.1999, exactly 2√12122.
Is 48488 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 48488?
It is a composite number with 32 divisors.