The number 49376
49376 is a composite number with 12 divisors. Its prime factorisation is × 1543. Divisors (12): 1, 2, 4, 8, 16, 32, 1543, 3086, 6172, 12344, 24688, 49376.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49376 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49376 is composite. Its prime factorisation is
- 3
The divisors add up to 97272; without 49376 itself that is 47896, so 49376 is deficient (47896 is less than 49376). Euler's totient φ(49376) = 24672 numbers up to 49376 share no factor with it.
- 4
The digits of 49376 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49376 = 2^{5} \times 1543 \]49376 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 97272 |
| Euler totient φ(n) | 24672 |
| Square | 2437989376 |
| Cube | 120378163429376 |
| Square root | 222.207111 (= 4√3086) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.9376 × |
49376 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand three hundred and seventy-six |
| Binary (base 2) | 1100000011100000 |
| Octal (base 8) | 140340 |
| Hexadecimal (base 16) | C0E0 |
| Base 3 | 2111201202 |
| As time | 49376 seconds = 13 h 42 min 56 s |
Is 49376 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49376 ÷ 2 = 24688) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49376 ÷ 4 = 12344) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 (49376 ÷ 8 = 6172) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49376 a prime number?
No. 49376 = × 1543, so it is divisible by 2.
What are the factors of 49376?
1, 2, 4, 8, 16, 32, 1543, 3086, 6172, 12344, 24688, 49376.
What is 49376 in binary?
1100000011100000 (hexadecimal C0E0, octal 140340).
What is the square root of 49376?
About 222.2071, exactly 4√3086.
Is 49376 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 49376?
It is a composite number with 12 divisors.