The number 40528
40528 is a composite number with 20 divisors. Its prime factorisation is × 17 × 149. Divisors (20): 1, 2, 4, 8, 16, 17, 34, 68, 136, 149, 272, 298, 596, 1192, 2384, 2533 … 40528.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40528: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
40528 is composite. Its prime factorisation is
- 3
The divisors add up to 83700; without 40528 itself that is 43172, so 40528 is abundant (43172 is more than 40528). Euler's totient φ(40528) = 18944 numbers up to 40528 share no factor with it.
- 4
The digits of 40528 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40528 = 2^{4} \times 17 \times 149 \]40528 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 83700 |
| Euler totient φ(n) | 18944 |
| Square | 1642518784 |
| Cube | 66568001277952 |
| Square root | 201.315673 (= 4√2533) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 36 |
| Scientific notation | 4.0528 × |
40528 in other forms
| Form | Value |
|---|---|
| In words | forty thousand five hundred and twenty-eight |
| Binary (base 2) | 1001111001010000 |
| Octal (base 8) | 117120 |
| Hexadecimal (base 16) | 9E50 |
| Base 3 | 2001121001 |
| As time | 40528 seconds = 11 h 15 min 28 s |
Is 40528 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40528 ÷ 2 = 20264) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40528 ÷ 4 = 10132) | 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 4) | 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 (40528 ÷ 8 = 5066) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40528 a prime number?
No. 40528 = × 17 × 149, so it is divisible by 2.
What are the factors of 40528?
1, 2, 4, 8, 16, 17, 34, 68, 136, 149, 272, 298, 596, 1192, 2384, 2533, 5066, 10132, 20264, 40528.
What is 40528 in binary?
1001111001010000 (hexadecimal 9E50, octal 117120).
What is the square root of 40528?
About 201.3157, exactly 4√2533.
Is 40528 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 40528?
40528 is a happy number: repeatedly adding the squares of its digits reaches 1.