The number 49056
49056 is a composite number with 48 divisors. Its prime factorisation is × 3 × 7 × 73. Divisors (48): 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48 … 49056.
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How to work it out
- 1
What is special about 49056: a Harshad number: divisible by its digit sum 24.
- 2
49056 is composite. Its prime factorisation is
- 3
The divisors add up to 149184; without 49056 itself that is 100128, so 49056 is abundant (100128 is more than 49056). Euler's totient φ(49056) = 13824 numbers up to 49056 share no factor with it.
- 4
The digits of 49056 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
\[ 49056 = 2^{5} \times 3 \times 7 \times 73 \]49056 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 149184 |
| Euler totient φ(n) | 13824 |
| Square | 2406491136 |
| Cube | 118052829167616 |
| Square root | 221.485891 (= 4√3066) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.9056 × |
49056 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand and fifty-six |
| Binary (base 2) | 1011111110100000 |
| Octal (base 8) | 137640 |
| Hexadecimal (base 16) | BFA0 |
| Base 3 | 2111021220 |
| As time | 49056 seconds = 13 h 37 min 36 s |
Is 49056 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49056 ÷ 2 = 24528) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49056 ÷ 3 = 16352) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49056 ÷ 4 = 12264) | 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 (49056 ÷ 6 = 8176) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (49056 ÷ 7 = 7008) | 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 (49056 ÷ 8 = 6132) | 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 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49056 ÷ 12 = 4088) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49056 a prime number?
No. 49056 = × 3 × 7 × 73, so it is divisible by 2.
What are the factors of 49056?
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 73, 84, 96, 112, 146, 168, 219, 224, 292, 336, 438, 511, 584, 672, 876, 1022, 1168, 1533, 1752, 2044, 2336, 3066, 3504, 4088, 6132, 7008, 8176, 12264, 16352, 24528, 49056.
What is 49056 in binary?
1011111110100000 (hexadecimal BFA0, octal 137640).
What is the square root of 49056?
About 221.4859, exactly 4√3066.
Is 49056 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 49056?
49056 is a Harshad number: divisible by its digit sum 24.