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The number 50428

50428 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 7 × 1801. Divisors (12): 1, 2, 4, 7, 14, 28, 1801, 3602, 7204, 12607, 25214, 50428.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 50428: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    50428 is composite. Its prime factorisation is

    50428=22×7×180150428 = 2^{2} \times 7 \times 1801
  3. 3

    The divisors add up to 100912; without 50428 itself that is 50484, so 50428 is abundant (50484 is more than 50428). Euler's totient φ(50428) = 21600 numbers up to 50428 share no factor with it.

  4. 4

    The digits of 50428 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.

LaTeX source of the formulas on this page
\[ 50428 = 2^{2} \times 7 \times 1801 \]

50428 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors100912
Euler totient φ(n)21600
Square2542983184
Cube128237556002752
Square root224.561796 (= 2√12607)
Digit sum / digital root19 / 1
Collatz steps to 1158
Scientific notation5.0428 × 10410^{4}

50428 in other forms

FormValue
In wordsfifty thousand four hundred and twenty-eight
Binary (base 2)1100010011111100
Octal (base 8)142374
Hexadecimal (base 16)C4FC
Base 32120011201
As time50428 seconds = 14 h 0 min 28 s

Is 50428 divisible by 2 to 12?

DivisorAnswerRule
2Yes (50428 ÷ 2 = 25214)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (50428 ÷ 4 = 12607)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.
6No (remainder 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (50428 ÷ 7 = 7204)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.
9No (remainder 1)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.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 50428 a prime number?

No. 50428 = 222^{2} × 7 × 1801, so it is divisible by 2.

What are the factors of 50428?

1, 2, 4, 7, 14, 28, 1801, 3602, 7204, 12607, 25214, 50428.

What is 50428 in binary?

1100010011111100 (hexadecimal C4FC, octal 142374).

What is the square root of 50428?

About 224.5618, exactly 2√12607.

Is 50428 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 50428?

50428 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    50428: is it prime? Factors, square root, binary, Roman numeral | WordGPT