The number 49528
49528 is a composite number with 16 divisors. Its prime factorisation is × 41 × 151. Divisors (16): 1, 2, 4, 8, 41, 82, 151, 164, 302, 328, 604, 1208, 6191, 12382, 24764, 49528.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49528: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49528 is composite. Its prime factorisation is
- 3
The divisors add up to 95760; without 49528 itself that is 46232, so 49528 is deficient (46232 is less than 49528). Euler's totient φ(49528) = 24000 numbers up to 49528 share no factor with it.
- 4
The digits of 49528 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 171 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49528 = 2^{3} \times 41 \times 151 \]49528 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 95760 |
| Euler totient φ(n) | 24000 |
| Square | 2453022784 |
| Cube | 121493312445952 |
| Square root | 222.548871 (= 2√12382) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 171 |
| Scientific notation | 4.9528 × |
49528 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand five hundred and twenty-eight |
| Binary (base 2) | 1100000101111000 |
| Octal (base 8) | 140570 |
| Hexadecimal (base 16) | C178 |
| Base 3 | 2111221101 |
| As time | 49528 seconds = 13 h 45 min 28 s |
Is 49528 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49528 ÷ 2 = 24764) | 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 (49528 ÷ 4 = 12382) | 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 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 (49528 ÷ 8 = 6191) | 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 6) | 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 49528 a prime number?
No. 49528 = × 41 × 151, so it is divisible by 2.
What are the factors of 49528?
1, 2, 4, 8, 41, 82, 151, 164, 302, 328, 604, 1208, 6191, 12382, 24764, 49528.
What is 49528 in binary?
1100000101111000 (hexadecimal C178, octal 140570).
What is the square root of 49528?
About 222.5489, exactly 2√12382.
Is 49528 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 49528?
49528 is a happy number: repeatedly adding the squares of its digits reaches 1.