The number 49416
49416 is a composite number with 32 divisors. Its prime factorisation is × 3 × 29 × 71. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 71, 87, 116, 142, 174, 213 … 49416.
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How to work it out
- 1
What is special about 49416: a Harshad number: divisible by its digit sum 24.
- 2
49416 is composite. Its prime factorisation is
- 3
The divisors add up to 129600; without 49416 itself that is 80184, so 49416 is abundant (80184 is more than 49416). Euler's totient φ(49416) = 15680 numbers up to 49416 share no factor with it.
- 4
The digits of 49416 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 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49416 = 2^{3} \times 3 \times 29 \times 71 \]49416 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 129600 |
| Euler totient φ(n) | 15680 |
| Square | 2441941056 |
| Cube | 120670959223296 |
| Square root | 222.297098 (= 2√12354) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.9416 × |
49416 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand four hundred and sixteen |
| Binary (base 2) | 1100000100001000 |
| Octal (base 8) | 140410 |
| Hexadecimal (base 16) | C108 |
| Base 3 | 2111210020 |
| As time | 49416 seconds = 13 h 43 min 36 s |
Is 49416 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49416 ÷ 2 = 24708) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49416 ÷ 3 = 16472) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49416 ÷ 4 = 12354) | 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 (49416 ÷ 6 = 8236) | 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 | Yes (49416 ÷ 8 = 6177) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49416 ÷ 12 = 4118) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49416 a prime number?
No. 49416 = × 3 × 29 × 71, so it is divisible by 2.
What are the factors of 49416?
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 71, 87, 116, 142, 174, 213, 232, 284, 348, 426, 568, 696, 852, 1704, 2059, 4118, 6177, 8236, 12354, 16472, 24708, 49416.
What is 49416 in binary?
1100000100001000 (hexadecimal C108, octal 140410).
What is the square root of 49416?
About 222.2971, exactly 2√12354.
Is 49416 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 49416?
49416 is a Harshad number: divisible by its digit sum 24.