The number 49488
49488 is a composite number with 20 divisors. Its prime factorisation is × 3 × 1031. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1031, 2062, 3093, 4124, 6186, 8248 … 49488.
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How to work it out
- 1
49488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49488 is composite. Its prime factorisation is
- 3
The divisors add up to 127968; without 49488 itself that is 78480, so 49488 is abundant (78480 is more than 49488). Euler's totient φ(49488) = 16480 numbers up to 49488 share no factor with it.
- 4
The digits of 49488 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49488 = 2^{4} \times 3 \times 1031 \]49488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 127968 |
| Euler totient φ(n) | 16480 |
| Square | 2449062144 |
| Cube | 121199187382272 |
| Square root | 222.458985 (= 4√3093) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.9488 × |
49488 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand four hundred and eighty-eight |
| Binary (base 2) | 1100000101010000 |
| Octal (base 8) | 140520 |
| Hexadecimal (base 16) | C150 |
| Base 3 | 2111212220 |
| As time | 49488 seconds = 13 h 44 min 48 s |
Is 49488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49488 ÷ 2 = 24744) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49488 ÷ 3 = 16496) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49488 ÷ 4 = 12372) | 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 | Yes (49488 ÷ 6 = 8248) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (49488 ÷ 8 = 6186) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49488 ÷ 12 = 4124) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49488 a prime number?
No. 49488 = × 3 × 1031, so it is divisible by 2.
What are the factors of 49488?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1031, 2062, 3093, 4124, 6186, 8248, 12372, 16496, 24744, 49488.
What is 49488 in binary?
1100000101010000 (hexadecimal C150, octal 140520).
What is the square root of 49488?
About 222.4590, exactly 4√3093.
Is 49488 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 49488?
It is a composite number with 20 divisors.