The number 48790
48790 is a composite number with 32 divisors. Its prime factorisation is 2 × 5 × 7 × 17 × 41. Divisors (32): 1, 2, 5, 7, 10, 14, 17, 34, 35, 41, 70, 82, 85, 119, 170, 205 … 48790.
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How to work it out
- 1
48790 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48790 is composite. Its prime factorisation is
- 3
The divisors add up to 108864; without 48790 itself that is 60074, so 48790 is abundant (60074 is more than 48790). Euler's totient φ(48790) = 15360 numbers up to 48790 share no factor with it.
- 4
The digits of 48790 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48790 = 2 \times 5 \times 7 \times 17 \times 41 \]
48790 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 108864 |
| Euler totient φ(n) | 15360 |
| Square | 2380464100 |
| Cube | 116142843439000 |
| Square root | 220.884585 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.879 × |
48790 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and ninety |
| Binary (base 2) | 1011111010010110 |
| Octal (base 8) | 137226 |
| Hexadecimal (base 16) | BE96 |
| Base 3 | 2110221001 |
| As time | 48790 seconds = 13 h 33 min 10 s |
Is 48790 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48790 ÷ 2 = 24395) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48790 ÷ 5 = 9758) | 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 | Yes (48790 ÷ 7 = 6970) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48790 ÷ 10 = 4879) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48790 a prime number?
No. 48790 = 2 × 5 × 7 × 17 × 41, so it is divisible by 2.
What are the factors of 48790?
1, 2, 5, 7, 10, 14, 17, 34, 35, 41, 70, 82, 85, 119, 170, 205, 238, 287, 410, 574, 595, 697, 1190, 1394, 1435, 2870, 3485, 4879, 6970, 9758, 24395, 48790.
What is 48790 in binary?
1011111010010110 (hexadecimal BE96, octal 137226).
What is the square root of 48790?
About 220.8846.
Is 48790 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 48790?
It is a composite number with 32 divisors.