The number 49780
49780 is a composite number with 24 divisors. Its prime factorisation is × 5 × 19 × 131. Divisors (24): 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 131, 190, 262, 380, 524, 655 … 49780.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49780 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49780 is composite. Its prime factorisation is
- 3
The divisors add up to 110880; without 49780 itself that is 61100, so 49780 is abundant (61100 is more than 49780). Euler's totient φ(49780) = 18720 numbers up to 49780 share no factor with it.
- 4
The digits of 49780 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49780 = 2^{2} \times 5 \times 19 \times 131 \]49780 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 110880 |
| Euler totient φ(n) | 18720 |
| Square | 2478048400 |
| Cube | 123357249352000 |
| Square root | 223.114320 (= 2√12445) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.978 × |
49780 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and eighty |
| Binary (base 2) | 1100001001110100 |
| Octal (base 8) | 141164 |
| Hexadecimal (base 16) | C274 |
| Base 3 | 2112021201 |
| As time | 49780 seconds = 13 h 49 min 40 s |
Is 49780 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49780 ÷ 2 = 24890) | 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 (49780 ÷ 4 = 12445) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (49780 ÷ 5 = 9956) | 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 3) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (49780 ÷ 10 = 4978) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 49780 a prime number?
No. 49780 = × 5 × 19 × 131, so it is divisible by 2.
What are the factors of 49780?
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 131, 190, 262, 380, 524, 655, 1310, 2489, 2620, 4978, 9956, 12445, 24890, 49780.
What is 49780 in binary?
1100001001110100 (hexadecimal C274, octal 141164).
What is the square root of 49780?
About 223.1143, exactly 2√12445.
Is 49780 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 49780?
It is a composite number with 24 divisors.