The number 49380
49380 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 823. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 823, 1646, 2469, 3292 … 49380.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49380 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49380 is composite. Its prime factorisation is
- 3
The divisors add up to 138432; without 49380 itself that is 89052, so 49380 is abundant (89052 is more than 49380). Euler's totient φ(49380) = 13152 numbers up to 49380 share no factor with it.
- 4
The digits of 49380 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49380 = 2^{2} \times 3 \times 5 \times 823 \]49380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 138432 |
| Euler totient φ(n) | 13152 |
| Square | 2438384400 |
| Cube | 120407421672000 |
| Square root | 222.216111 (= 2√12345) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.938 × |
49380 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand three hundred and eighty |
| Binary (base 2) | 1100000011100100 |
| Octal (base 8) | 140344 |
| Hexadecimal (base 16) | C0E4 |
| Base 3 | 2111201220 |
| As time | 49380 seconds = 13 h 43 min 0 s |
Is 49380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49380 ÷ 2 = 24690) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49380 ÷ 3 = 16460) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49380 ÷ 4 = 12345) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (49380 ÷ 5 = 9876) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49380 ÷ 6 = 8230) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (49380 ÷ 10 = 4938) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49380 ÷ 12 = 4115) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49380 a prime number?
No. 49380 = × 3 × 5 × 823, so it is divisible by 2.
What are the factors of 49380?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 823, 1646, 2469, 3292, 4115, 4938, 8230, 9876, 12345, 16460, 24690, 49380.
What is 49380 in binary?
1100000011100100 (hexadecimal C0E4, octal 140344).
What is the square root of 49380?
About 222.2161, exactly 2√12345.
Is 49380 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 49380?
It is a composite number with 24 divisors.