The number 58428
58428 is a composite number with 24 divisors. Its prime factorisation is × × 541. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 541, 1082, 1623, 2164 … 58428.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58428: a Harshad number: divisible by its digit sum 27.
- 2
58428 is composite. Its prime factorisation is
- 3
The divisors add up to 151760; without 58428 itself that is 93332, so 58428 is abundant (93332 is more than 58428). Euler's totient φ(58428) = 19440 numbers up to 58428 share no factor with it.
- 4
The digits of 58428 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 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58428 = 2^{2} \times 3^{3} \times 541 \]58428 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 151760 |
| Euler totient φ(n) | 19440 |
| Square | 3413831184 |
| Cube | 199463328418752 |
| Square root | 241.718845 (= 6√1623) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.8428 × |
58428 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand four hundred and twenty-eight |
| Binary (base 2) | 1110010000111100 |
| Octal (base 8) | 162074 |
| Hexadecimal (base 16) | E43C |
| Base 3 | 2222011000 |
| As time | 58428 seconds = 16 h 13 min 48 s |
Is 58428 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58428 ÷ 2 = 29214) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (58428 ÷ 3 = 19476) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (58428 ÷ 4 = 14607) | 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 (58428 ÷ 6 = 9738) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (58428 ÷ 9 = 6492) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (58428 ÷ 12 = 4869) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58428 a prime number?
No. 58428 = × × 541, so it is divisible by 2.
What are the factors of 58428?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 541, 1082, 1623, 2164, 3246, 4869, 6492, 9738, 14607, 19476, 29214, 58428.
What is 58428 in binary?
1110010000111100 (hexadecimal E43C, octal 162074).
What is the square root of 58428?
About 241.7188, exactly 6√1623.
Is 58428 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 58428?
58428 is a Harshad number: divisible by its digit sum 27.