The number 49028
49028 is a composite number with 24 divisors. Its prime factorisation is × 7 × 17 × 103. Divisors (24): 1, 2, 4, 7, 14, 17, 28, 34, 68, 103, 119, 206, 238, 412, 476, 721 … 49028.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49028 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49028 is composite. Its prime factorisation is
- 3
The divisors add up to 104832; without 49028 itself that is 55804, so 49028 is abundant (55804 is more than 49028). Euler's totient φ(49028) = 19584 numbers up to 49028 share no factor with it.
- 4
The digits of 49028 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49028 = 2^{2} \times 7 \times 17 \times 103 \]49028 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 104832 |
| Euler totient φ(n) | 19584 |
| Square | 2403744784 |
| Cube | 117850799269952 |
| Square root | 221.422673 (= 2√12257) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.9028 × |
49028 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand and twenty-eight |
| Binary (base 2) | 1011111110000100 |
| Octal (base 8) | 137604 |
| Hexadecimal (base 16) | BF84 |
| Base 3 | 2111020212 |
| As time | 49028 seconds = 13 h 37 min 8 s |
Is 49028 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49028 ÷ 2 = 24514) | 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 (49028 ÷ 4 = 12257) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (49028 ÷ 7 = 7004) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | No (remainder 1) | 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 49028 a prime number?
No. 49028 = × 7 × 17 × 103, so it is divisible by 2.
What are the factors of 49028?
1, 2, 4, 7, 14, 17, 28, 34, 68, 103, 119, 206, 238, 412, 476, 721, 1442, 1751, 2884, 3502, 7004, 12257, 24514, 49028.
What is 49028 in binary?
1011111110000100 (hexadecimal BF84, octal 137604).
What is the square root of 49028?
About 221.4227, exactly 2√12257.
Is 49028 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 49028?
It is a composite number with 24 divisors.