The number 58528
58528 is a composite number with 24 divisors. Its prime factorisation is × 31 × 59. Divisors (24): 1, 2, 4, 8, 16, 31, 32, 59, 62, 118, 124, 236, 248, 472, 496, 944 … 58528.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58528 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58528 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 58528 itself that is 62432, so 58528 is abundant (62432 is more than 58528). Euler's totient φ(58528) = 27840 numbers up to 58528 share no factor with it.
- 4
The digits of 58528 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 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58528 = 2^{5} \times 31 \times 59 \]58528 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 27840 |
| Square | 3425526784 |
| Cube | 200489231613952 |
| Square root | 241.925608 (= 4√3658) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.8528 × |
58528 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand five hundred and twenty-eight |
| Binary (base 2) | 1110010010100000 |
| Octal (base 8) | 162240 |
| Hexadecimal (base 16) | E4A0 |
| Base 3 | 2222021201 |
| As time | 58528 seconds = 16 h 15 min 28 s |
Is 58528 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58528 ÷ 2 = 29264) | 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 (58528 ÷ 4 = 14632) | 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 1) | 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 (58528 ÷ 8 = 7316) | 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 8) | 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 58528 a prime number?
No. 58528 = × 31 × 59, so it is divisible by 2.
What are the factors of 58528?
1, 2, 4, 8, 16, 31, 32, 59, 62, 118, 124, 236, 248, 472, 496, 944, 992, 1829, 1888, 3658, 7316, 14632, 29264, 58528.
What is 58528 in binary?
1110010010100000 (hexadecimal E4A0, octal 162240).
What is the square root of 58528?
About 241.9256, exactly 4√3658.
Is 58528 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 58528?
It is a composite number with 24 divisors.