The number 49472
49472 is a composite number with 14 divisors. Its prime factorisation is × 773. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 773, 1546, 3092, 6184, 12368, 24736, 49472.
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How to work it out
- 1
49472 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49472 is composite. Its prime factorisation is
- 3
The divisors add up to 98298; without 49472 itself that is 48826, so 49472 is deficient (48826 is less than 49472). Euler's totient φ(49472) = 24704 numbers up to 49472 share no factor with it.
- 4
The digits of 49472 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49472 = 2^{6} \times 773 \]49472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 98298 |
| Euler totient φ(n) | 24704 |
| Square | 2447478784 |
| Cube | 121081670402048 |
| Square root | 222.423020 (= 8√773) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.9472 × |
49472 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand four hundred and seventy-two |
| Binary (base 2) | 1100000101000000 |
| Octal (base 8) | 140500 |
| Hexadecimal (base 16) | C140 |
| Base 3 | 2111212022 |
| As time | 49472 seconds = 13 h 44 min 32 s |
Is 49472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49472 ÷ 2 = 24736) | 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 (49472 ÷ 4 = 12368) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 (49472 ÷ 8 = 6184) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49472 a prime number?
No. 49472 = × 773, so it is divisible by 2.
What are the factors of 49472?
1, 2, 4, 8, 16, 32, 64, 773, 1546, 3092, 6184, 12368, 24736, 49472.
What is 49472 in binary?
1100000101000000 (hexadecimal C140, octal 140500).
What is the square root of 49472?
About 222.4230, exactly 8√773.
Is 49472 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 49472?
It is a composite number with 14 divisors.