The number 40208
40208 is a composite number with 20 divisors. Its prime factorisation is × 7 × 359. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 359, 718, 1436, 2513, 2872, 5026 … 40208.
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How to work it out
- 1
What is special about 40208: a Harshad number: divisible by its digit sum 14.
- 2
40208 is composite. Its prime factorisation is
- 3
The divisors add up to 89280; without 40208 itself that is 49072, so 40208 is abundant (49072 is more than 40208). Euler's totient φ(40208) = 17184 numbers up to 40208 share no factor with it.
- 4
The digits of 40208 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 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40208 = 2^{4} \times 7 \times 359 \]40208 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 89280 |
| Euler totient φ(n) | 17184 |
| Square | 1616683264 |
| Cube | 65003600678912 |
| Square root | 200.519326 (= 4√2513) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.0208 × |
40208 in other forms
| Form | Value |
|---|---|
| In words | forty thousand two hundred and eight |
| Binary (base 2) | 1001110100010000 |
| Octal (base 8) | 116420 |
| Hexadecimal (base 16) | 9D10 |
| Base 3 | 2001011012 |
| As time | 40208 seconds = 11 h 10 min 8 s |
Is 40208 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40208 ÷ 2 = 20104) | 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 (40208 ÷ 4 = 10052) | 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 (40208 ÷ 7 = 5744) | 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 (40208 ÷ 8 = 5026) | 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 3) | 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 40208 a prime number?
No. 40208 = × 7 × 359, so it is divisible by 2.
What are the factors of 40208?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 359, 718, 1436, 2513, 2872, 5026, 5744, 10052, 20104, 40208.
What is 40208 in binary?
1001110100010000 (hexadecimal 9D10, octal 116420).
What is the square root of 40208?
About 200.5193, exactly 4√2513.
Is 40208 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 40208?
40208 is a Harshad number: divisible by its digit sum 14.