The number 49860
49860 is a composite number with 36 divisors. Its prime factorisation is × × 5 × 277. Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60 … 49860.
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How to work it out
- 1
49860 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49860 is composite. Its prime factorisation is
- 3
The divisors add up to 151788; without 49860 itself that is 101928, so 49860 is abundant (101928 is more than 49860). Euler's totient φ(49860) = 13248 numbers up to 49860 share no factor with it.
- 4
The digits of 49860 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49860 = 2^{2} \times 3^{2} \times 5 \times 277 \]49860 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 151788 |
| Euler totient φ(n) | 13248 |
| Square | 2486019600 |
| Cube | 123952937256000 |
| Square root | 223.293529 (= 6√1385) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.986 × |
49860 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand eight hundred and sixty |
| Binary (base 2) | 1100001011000100 |
| Octal (base 8) | 141304 |
| Hexadecimal (base 16) | C2C4 |
| Base 3 | 2112101200 |
| As time | 49860 seconds = 13 h 51 min 0 s |
Is 49860 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49860 ÷ 2 = 24930) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49860 ÷ 3 = 16620) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49860 ÷ 4 = 12465) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (49860 ÷ 5 = 9972) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49860 ÷ 6 = 8310) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49860 ÷ 9 = 5540) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (49860 ÷ 10 = 4986) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49860 ÷ 12 = 4155) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49860 a prime number?
No. 49860 = × × 5 × 277, so it is divisible by 2.
What are the factors of 49860?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 277, 554, 831, 1108, 1385, 1662, 2493, 2770, 3324, 4155, 4986, 5540, 8310, 9972, 12465, 16620, 24930, 49860.
What is 49860 in binary?
1100001011000100 (hexadecimal C2C4, octal 141304).
What is the square root of 49860?
About 223.2935, exactly 6√1385.
Is 49860 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 49860?
It is a composite number with 36 divisors.