The number 49216
49216 is a composite number with 14 divisors. Its prime factorisation is × 769. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 769, 1538, 3076, 6152, 12304, 24608, 49216.
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How to work it out
- 1
49216 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49216 is composite. Its prime factorisation is
- 3
The divisors add up to 97790; without 49216 itself that is 48574, so 49216 is deficient (48574 is less than 49216). Euler's totient φ(49216) = 24576 numbers up to 49216 share no factor with it.
- 4
The digits of 49216 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49216 = 2^{6} \times 769 \]49216 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 97790 |
| Euler totient φ(n) | 24576 |
| Square | 2422214656 |
| Cube | 119211716509696 |
| Square root | 221.846794 (= 8√769) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.9216 × |
49216 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand two hundred and sixteen |
| Binary (base 2) | 1100000001000000 |
| Octal (base 8) | 140100 |
| Hexadecimal (base 16) | C040 |
| Base 3 | 2111111211 |
| As time | 49216 seconds = 13 h 40 min 16 s |
Is 49216 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49216 ÷ 2 = 24608) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49216 ÷ 4 = 12304) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (49216 ÷ 8 = 6152) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49216 a prime number?
No. 49216 = × 769, so it is divisible by 2.
What are the factors of 49216?
1, 2, 4, 8, 16, 32, 64, 769, 1538, 3076, 6152, 12304, 24608, 49216.
What is 49216 in binary?
1100000001000000 (hexadecimal C040, octal 140100).
What is the square root of 49216?
About 221.8468, exactly 8√769.
Is 49216 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 49216?
It is a composite number with 14 divisors.