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The number 50568

50568 is a composite number with 48 divisors. Its prime factorisation is 232^{3} × 3 × 727^{2} × 43. Divisors (48): 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 43, 49, 56 … 50568.

Number

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How to work it out

  1. 1

    What is special about 50568: a Harshad number: divisible by its digit sum 24.

  2. 2

    50568 is composite. Its prime factorisation is

    50568=23×3×72×4350568 = 2^{3} \times 3 \times 7^{2} \times 43
  3. 3

    The divisors add up to 150480; without 50568 itself that is 99912, so 50568 is abundant (99912 is more than 50568). Euler's totient φ(50568) = 14112 numbers up to 50568 share no factor with it.

  4. 4

    The digits of 50568 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.

LaTeX source of the formulas on this page
\[ 50568 = 2^{3} \times 3 \times 7^{2} \times 43 \]

50568 at a glance

PropertyValue
Typecomposite
Number of divisors48
Sum of divisors150480
Euler totient φ(n)14112
Square2557122624
Cube129308576850432
Square root224.873298 (= 14√258)
Digit sum / digital root24 / 6
Collatz steps to 1158
Scientific notation5.0568 × 10410^{4}

50568 in other forms

FormValue
In wordsfifty thousand five hundred and sixty-eight
Binary (base 2)1100010110001000
Octal (base 8)142610
Hexadecimal (base 16)C588
Base 32120100220
As time50568 seconds = 14 h 2 min 48 s

Is 50568 divisible by 2 to 12?

DivisorAnswerRule
2Yes (50568 ÷ 2 = 25284)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (50568 ÷ 3 = 16856)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (50568 ÷ 4 = 12642)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 (50568 ÷ 6 = 8428)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (50568 ÷ 7 = 7224)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8Yes (50568 ÷ 8 = 6321)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 6)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 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12Yes (50568 ÷ 12 = 4214)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 50568 a prime number?

No. 50568 = 232^{3} × 3 × 727^{2} × 43, so it is divisible by 2.

What are the factors of 50568?

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 43, 49, 56, 84, 86, 98, 129, 147, 168, 172, 196, 258, 294, 301, 344, 392, 516, 588, 602, 903, 1032, 1176, 1204, 1806, 2107, 2408, 3612, 4214, 6321, 7224, 8428, 12642, 16856, 25284, 50568.

What is 50568 in binary?

1100010110001000 (hexadecimal C588, octal 142610).

What is the square root of 50568?

About 224.8733, exactly 14√258.

Is 50568 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 50568?

50568 is a Harshad number: divisible by its digit sum 24.

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