The number 40248
40248 is a composite number with 48 divisors. Its prime factorisation is × × 13 × 43. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 43, 52 … 40248.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40248: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
40248 is composite. Its prime factorisation is
- 3
The divisors add up to 120120; without 40248 itself that is 79872, so 40248 is abundant (79872 is more than 40248). Euler's totient φ(40248) = 12096 numbers up to 40248 share no factor with it.
- 4
The digits of 40248 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 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40248 = 2^{3} \times 3^{2} \times 13 \times 43 \]40248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 120120 |
| Euler totient φ(n) | 12096 |
| Square | 1619901504 |
| Cube | 65197795732992 |
| Square root | 200.619042 (= 6√1118) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.0248 × |
40248 in other forms
| Form | Value |
|---|---|
| In words | forty thousand two hundred and forty-eight |
| Binary (base 2) | 1001110100111000 |
| Octal (base 8) | 116470 |
| Hexadecimal (base 16) | 9D38 |
| Base 3 | 2001012200 |
| As time | 40248 seconds = 11 h 10 min 48 s |
Is 40248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40248 ÷ 2 = 20124) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40248 ÷ 3 = 13416) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40248 ÷ 4 = 10062) | 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 (40248 ÷ 6 = 6708) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (40248 ÷ 8 = 5031) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40248 ÷ 9 = 4472) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (40248 ÷ 12 = 3354) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40248 a prime number?
No. 40248 = × × 13 × 43, so it is divisible by 2.
What are the factors of 40248?
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 43, 52, 72, 78, 86, 104, 117, 129, 156, 172, 234, 258, 312, 344, 387, 468, 516, 559, 774, 936, 1032, 1118, 1548, 1677, 2236, 3096, 3354, 4472, 5031, 6708, 10062, 13416, 20124, 40248.
What is 40248 in binary?
1001110100111000 (hexadecimal 9D38, octal 116470).
What is the square root of 40248?
About 200.6190, exactly 6√1118.
Is 40248 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 40248?
40248 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.