The number 49788
49788 is a composite number with 24 divisors. Its prime factorisation is × × 461. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 461, 922, 1383, 1844 … 49788.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49788: a Harshad number: divisible by its digit sum 36.
- 2
49788 is composite. Its prime factorisation is
- 3
The divisors add up to 129360; without 49788 itself that is 79572, so 49788 is abundant (79572 is more than 49788). Euler's totient φ(49788) = 16560 numbers up to 49788 share no factor with it.
- 4
The digits of 49788 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49788 = 2^{2} \times 3^{3} \times 461 \]49788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 129360 |
| Euler totient φ(n) | 16560 |
| Square | 2478844944 |
| Cube | 123416732071872 |
| Square root | 223.132248 (= 6√1383) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.9788 × |
49788 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and eighty-eight |
| Binary (base 2) | 1100001001111100 |
| Octal (base 8) | 141174 |
| Hexadecimal (base 16) | C27C |
| Base 3 | 2112022000 |
| As time | 49788 seconds = 13 h 49 min 48 s |
Is 49788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49788 ÷ 2 = 24894) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49788 ÷ 3 = 16596) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49788 ÷ 4 = 12447) | 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 (49788 ÷ 6 = 8298) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (49788 ÷ 9 = 5532) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49788 ÷ 12 = 4149) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49788 a prime number?
No. 49788 = × × 461, so it is divisible by 2.
What are the factors of 49788?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 461, 922, 1383, 1844, 2766, 4149, 5532, 8298, 12447, 16596, 24894, 49788.
What is 49788 in binary?
1100001001111100 (hexadecimal C27C, octal 141174).
What is the square root of 49788?
About 223.1322, exactly 6√1383.
Is 49788 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 49788?
49788 is a Harshad number: divisible by its digit sum 36.