The number 49296
49296 is a composite number with 40 divisors. Its prime factorisation is × 3 × 13 × 79. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 79 … 49296.
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How to work it out
- 1
49296 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49296 is composite. Its prime factorisation is
- 3
The divisors add up to 138880; without 49296 itself that is 89584, so 49296 is abundant (89584 is more than 49296). Euler's totient φ(49296) = 14976 numbers up to 49296 share no factor with it.
- 4
The digits of 49296 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49296 = 2^{4} \times 3 \times 13 \times 79 \]49296 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 138880 |
| Euler totient φ(n) | 14976 |
| Square | 2430095616 |
| Cube | 119793993486336 |
| Square root | 222.027025 (= 4√3081) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.9296 × |
49296 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand two hundred and ninety-six |
| Binary (base 2) | 1100000010010000 |
| Octal (base 8) | 140220 |
| Hexadecimal (base 16) | C090 |
| Base 3 | 2111121210 |
| As time | 49296 seconds = 13 h 41 min 36 s |
Is 49296 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49296 ÷ 2 = 24648) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49296 ÷ 3 = 16432) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49296 ÷ 4 = 12324) | 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 | Yes (49296 ÷ 6 = 8216) | 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 | Yes (49296 ÷ 8 = 6162) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49296 ÷ 12 = 4108) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49296 a prime number?
No. 49296 = × 3 × 13 × 79, so it is divisible by 2.
What are the factors of 49296?
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 79, 104, 156, 158, 208, 237, 312, 316, 474, 624, 632, 948, 1027, 1264, 1896, 2054, 3081, 3792, 4108, 6162, 8216, 12324, 16432, 24648, 49296.
What is 49296 in binary?
1100000010010000 (hexadecimal C090, octal 140220).
What is the square root of 49296?
About 222.0270, exactly 4√3081.
Is 49296 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 49296?
It is a composite number with 40 divisors.