The number 49038
49038 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 743. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 743, 1486, 2229, 4458, 8173, 16346, 24519, 49038.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49038 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49038 is composite. Its prime factorisation is
- 3
The divisors add up to 107136; without 49038 itself that is 58098, so 49038 is abundant (58098 is more than 49038). Euler's totient φ(49038) = 14840 numbers up to 49038 share no factor with it.
- 4
The digits of 49038 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 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49038 = 2 \times 3 \times 11 \times 743 \]
49038 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 107136 |
| Euler totient φ(n) | 14840 |
| Square | 2404725444 |
| Cube | 117922926322872 |
| Square root | 221.445253 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.9038 × |
49038 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand and thirty-eight |
| Binary (base 2) | 1011111110001110 |
| Octal (base 8) | 137616 |
| Hexadecimal (base 16) | BF8E |
| Base 3 | 2111021020 |
| As time | 49038 seconds = 13 h 37 min 18 s |
Is 49038 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49038 ÷ 2 = 24519) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49038 ÷ 3 = 16346) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49038 ÷ 6 = 8173) | 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 | No (remainder 6) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (49038 ÷ 11 = 4458) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49038 a prime number?
No. 49038 = 2 × 3 × 11 × 743, so it is divisible by 2.
What are the factors of 49038?
1, 2, 3, 6, 11, 22, 33, 66, 743, 1486, 2229, 4458, 8173, 16346, 24519, 49038.
What is 49038 in binary?
1011111110001110 (hexadecimal BF8E, octal 137616).
What is the square root of 49038?
About 221.4453.
Is 49038 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 49038?
It is a composite number with 16 divisors.