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The number 50274

50274 is a composite number with 48 divisors. Its prime factorisation is 2 × 333^{3} × 727^{2} × 19. Divisors (48): 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 27, 38, 42, 49, 54, 57 … 50274.

Number

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How to work it out

  1. 1

    What is special about 50274: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.

  2. 2

    50274 is composite. Its prime factorisation is

    50274=2×33×72×1950274 = 2 \times 3^{3} \times 7^{2} \times 19
  3. 3

    The divisors add up to 136800; without 50274 itself that is 86526, so 50274 is abundant (86526 is more than 50274). Euler's totient φ(50274) = 13608 numbers up to 50274 share no factor with it.

  4. 4

    The digits of 50274 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.

LaTeX source of the formulas on this page
\[ 50274 = 2 \times 3^{3} \times 7^{2} \times 19 \]

50274 at a glance

PropertyValue
Typecomposite
Number of divisors48
Sum of divisors136800
Euler totient φ(n)13608
Square2527475076
Cube127066281970824
Square root224.218643 (= 21√114)
Digit sum / digital root18 / 9
Collatz steps to 1158
Scientific notation5.0274 × 10410^{4}

50274 in other forms

FormValue
In wordsfifty thousand two hundred and seventy-four
Binary (base 2)1100010001100010
Octal (base 8)142142
Hexadecimal (base 16)C462
Base 32112222000
As time50274 seconds = 13 h 57 min 54 s

Is 50274 divisible by 2 to 12?

DivisorAnswerRule
2Yes (50274 ÷ 2 = 25137)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (50274 ÷ 3 = 16758)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6Yes (50274 ÷ 6 = 8379)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (50274 ÷ 7 = 7182)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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (50274 ÷ 9 = 5586)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 4)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.
12No (remainder 6)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 50274 a prime number?

No. 50274 = 2 × 333^{3} × 727^{2} × 19, so it is divisible by 2.

What are the factors of 50274?

1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 27, 38, 42, 49, 54, 57, 63, 98, 114, 126, 133, 147, 171, 189, 266, 294, 342, 378, 399, 441, 513, 798, 882, 931, 1026, 1197, 1323, 1862, 2394, 2646, 2793, 3591, 5586, 7182, 8379, 16758, 25137, 50274.

What is 50274 in binary?

1100010001100010 (hexadecimal C462, octal 142142).

What is the square root of 50274?

About 224.2186, exactly 21√114.

Is 50274 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 50274?

50274 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.

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