The number 48020
48020 is a composite number with 30 divisors. Its prime factorisation is × 5 × . Divisors (30): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245 … 48020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48020: a Harshad number: divisible by its digit sum 14.
- 2
48020 is composite. Its prime factorisation is
- 3
The divisors add up to 117642; without 48020 itself that is 69622, so 48020 is abundant (69622 is more than 48020). Euler's totient φ(48020) = 16464 numbers up to 48020 share no factor with it.
- 4
The digits of 48020 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48020 = 2^{2} \times 5 \times 7^{4} \]48020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 117642 |
| Euler totient φ(n) | 16464 |
| Square | 2305920400 |
| Cube | 110730297608000 |
| Square root | 219.134662 (= 98√5) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.802 × |
48020 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and twenty |
| Binary (base 2) | 1011101110010100 |
| Octal (base 8) | 135624 |
| Hexadecimal (base 16) | BB94 |
| Base 3 | 2102212112 |
| As time | 48020 seconds = 13 h 20 min 20 s |
Is 48020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48020 ÷ 2 = 24010) | 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 (48020 ÷ 4 = 12005) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48020 ÷ 5 = 9604) | 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 (48020 ÷ 7 = 6860) | 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 | Yes (48020 ÷ 10 = 4802) | 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 48020 a prime number?
No. 48020 = × 5 × , so it is divisible by 2.
What are the factors of 48020?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 343, 490, 686, 980, 1372, 1715, 2401, 3430, 4802, 6860, 9604, 12005, 24010, 48020.
What is 48020 in binary?
1011101110010100 (hexadecimal BB94, octal 135624).
What is the square root of 48020?
About 219.1347, exactly 98√5.
Is 48020 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 48020?
48020 is a Harshad number: divisible by its digit sum 14.