The number 49024
49024 is a composite number with 16 divisors. Its prime factorisation is × 383. Divisors (16): 1, 2, 4, 8, 16, 32, 64, 128, 383, 766, 1532, 3064, 6128, 12256, 24512, 49024.
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How to work it out
- 1
49024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49024 is composite. Its prime factorisation is
- 3
The divisors add up to 97920; without 49024 itself that is 48896, so 49024 is deficient (48896 is less than 49024). Euler's totient φ(49024) = 24448 numbers up to 49024 share no factor with it.
- 4
The digits of 49024 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49024 = 2^{7} \times 383 \]49024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 97920 |
| Euler totient φ(n) | 24448 |
| Square | 2403352576 |
| Cube | 117821956685824 |
| Square root | 221.413640 (= 8√766) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.9024 × |
49024 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand and twenty-four |
| Binary (base 2) | 1011111110000000 |
| Octal (base 8) | 137600 |
| Hexadecimal (base 16) | BF80 |
| Base 3 | 2111020201 |
| As time | 49024 seconds = 13 h 37 min 4 s |
Is 49024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49024 ÷ 2 = 24512) | 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 (49024 ÷ 4 = 12256) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 (49024 ÷ 8 = 6128) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 49024 a prime number?
No. 49024 = × 383, so it is divisible by 2.
What are the factors of 49024?
1, 2, 4, 8, 16, 32, 64, 128, 383, 766, 1532, 3064, 6128, 12256, 24512, 49024.
What is 49024 in binary?
1011111110000000 (hexadecimal BF80, octal 137600).
What is the square root of 49024?
About 221.4136, exactly 8√766.
Is 49024 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 49024?
It is a composite number with 16 divisors.