The number 40878
40878 is a composite number with 16 divisors. Its prime factorisation is 2 × × 757. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 757, 1514, 2271, 4542, 6813, 13626, 20439, 40878.
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How to work it out
- 1
What is special about 40878: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
40878 is composite. Its prime factorisation is
- 3
The divisors add up to 90960; without 40878 itself that is 50082, so 40878 is abundant (50082 is more than 40878). Euler's totient φ(40878) = 13608 numbers up to 40878 share no factor with it.
- 4
The digits of 40878 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40878 = 2 \times 3^{3} \times 757 \]40878 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 90960 |
| Euler totient φ(n) | 13608 |
| Square | 1671010884 |
| Cube | 68307582916152 |
| Square root | 202.183085 (= 3√4542) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.0878 × |
40878 in other forms
| Form | Value |
|---|---|
| In words | forty thousand eight hundred and seventy-eight |
| Binary (base 2) | 1001111110101110 |
| Octal (base 8) | 117656 |
| Hexadecimal (base 16) | 9FAE |
| Base 3 | 2002002000 |
| As time | 40878 seconds = 11 h 21 min 18 s |
Is 40878 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40878 ÷ 2 = 20439) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40878 ÷ 3 = 13626) | 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 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40878 ÷ 6 = 6813) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40878 ÷ 9 = 4542) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40878 a prime number?
No. 40878 = 2 × × 757, so it is divisible by 2.
What are the factors of 40878?
1, 2, 3, 6, 9, 18, 27, 54, 757, 1514, 2271, 4542, 6813, 13626, 20439, 40878.
What is 40878 in binary?
1001111110101110 (hexadecimal 9FAE, octal 117656).
What is the square root of 40878?
About 202.1831, exactly 3√4542.
Is 40878 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 40878?
40878 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.