The number 48240
48240 is a composite number with 60 divisors. Its prime factorisation is × × 5 × 67. Divisors (60): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30 … 48240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48240: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
48240 is composite. Its prime factorisation is
- 3
The divisors add up to 164424; without 48240 itself that is 116184, so 48240 is abundant (116184 is more than 48240). Euler's totient φ(48240) = 12672 numbers up to 48240 share no factor with it.
- 4
The digits of 48240 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48240 = 2^{4} \times 3^{2} \times 5 \times 67 \]48240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 164424 |
| Euler totient φ(n) | 12672 |
| Square | 2327097600 |
| Cube | 112259188224000 |
| Square root | 219.636063 (= 12√335) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.824 × |
48240 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand two hundred and forty |
| Binary (base 2) | 1011110001110000 |
| Octal (base 8) | 136160 |
| Hexadecimal (base 16) | BC70 |
| Base 3 | 2110011200 |
| As time | 48240 seconds = 13 h 24 min 0 s |
Is 48240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48240 ÷ 2 = 24120) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48240 ÷ 3 = 16080) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48240 ÷ 4 = 12060) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48240 ÷ 5 = 9648) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48240 ÷ 6 = 8040) | 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 (48240 ÷ 8 = 6030) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48240 ÷ 9 = 5360) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48240 ÷ 10 = 4824) | 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 | Yes (48240 ÷ 12 = 4020) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48240 a prime number?
No. 48240 = × × 5 × 67, so it is divisible by 2.
What are the factors of 48240?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 67, 72, 80, 90, 120, 134, 144, 180, 201, 240, 268, 335, 360, 402, 536, 603, 670, 720, 804, 1005, 1072, 1206, 1340, 1608, 2010, 2412, 2680, 3015, 3216, 4020, 4824, 5360, 6030, 8040, 9648, 12060, 16080, 24120, 48240.
What is 48240 in binary?
1011110001110000 (hexadecimal BC70, octal 136160).
What is the square root of 48240?
About 219.6361, exactly 12√335.
Is 48240 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 48240?
48240 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.