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The number 50868

50868 is a composite number with 30 divisors. Its prime factorisation is 222^{2} × 343^{4} × 157. Divisors (30): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 157, 162, 314 … 50868.

Number

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How to work it out

  1. 1

    What is special about 50868: a Harshad number: divisible by its digit sum 27.

  2. 2

    50868 is composite. Its prime factorisation is

    50868=22×34×15750868 = 2^{2} \times 3^{4} \times 157
  3. 3

    The divisors add up to 133826; without 50868 itself that is 82958, so 50868 is abundant (82958 is more than 50868). Euler's totient φ(50868) = 16848 numbers up to 50868 share no factor with it.

  4. 4

    The digits of 50868 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 83 steps to reach 1.

LaTeX source of the formulas on this page
\[ 50868 = 2^{2} \times 3^{4} \times 157 \]

50868 at a glance

PropertyValue
Typecomposite
Number of divisors30
Sum of divisors133826
Euler totient φ(n)16848
Square2587553424
Cube131623667572032
Square root225.539354 (= 18√157)
Digit sum / digital root27 / 9
Collatz steps to 183
Scientific notation5.0868 × 10410^{4}

50868 in other forms

FormValue
In wordsfifty thousand eight hundred and sixty-eight
Binary (base 2)1100011010110100
Octal (base 8)143264
Hexadecimal (base 16)C6B4
Base 32120210000
As time50868 seconds = 14 h 7 min 48 s

Is 50868 divisible by 2 to 12?

DivisorAnswerRule
2Yes (50868 ÷ 2 = 25434)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (50868 ÷ 3 = 16956)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (50868 ÷ 4 = 12717)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6Yes (50868 ÷ 6 = 8478)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (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.
8No (remainder 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (50868 ÷ 9 = 5652)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12Yes (50868 ÷ 12 = 4239)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 50868 a prime number?

No. 50868 = 222^{2} × 343^{4} × 157, so it is divisible by 2.

What are the factors of 50868?

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 157, 162, 314, 324, 471, 628, 942, 1413, 1884, 2826, 4239, 5652, 8478, 12717, 16956, 25434, 50868.

What is 50868 in binary?

1100011010110100 (hexadecimal C6B4, octal 143264).

What is the square root of 50868?

About 225.5394, exactly 18√157.

Is 50868 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 50868?

50868 is a Harshad number: divisible by its digit sum 27.

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