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The number 49228

49228 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 31 × 397. Divisors (12): 1, 2, 4, 31, 62, 124, 397, 794, 1588, 12307, 24614, 49228.

Number

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How to work it out

  1. 1

    49228 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    49228 is composite. Its prime factorisation is

    49228=22×31×39749228 = 2^{2} \times 31 \times 397
  3. 3

    The divisors add up to 89152; without 49228 itself that is 39924, so 49228 is deficient (39924 is less than 49228). Euler's totient φ(49228) = 23760 numbers up to 49228 share no factor with it.

  4. 4

    The digits of 49228 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.

LaTeX source of the formulas on this page
\[ 49228 = 2^{2} \times 31 \times 397 \]

49228 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors89152
Euler totient φ(n)23760
Square2423395984
Cube119298937500352
Square root221.873838 (= 2√12307)
Digit sum / digital root25 / 7
Collatz steps to 196
Scientific notation4.9228 × 10410^{4}

49228 in other forms

FormValue
In wordsforty-nine thousand two hundred and twenty-eight
Binary (base 2)1100000001001100
Octal (base 8)140114
Hexadecimal (base 16)C04C
Base 32111112021
As time49228 seconds = 13 h 40 min 28 s

Is 49228 divisible by 2 to 12?

DivisorAnswerRule
2Yes (49228 ÷ 2 = 24614)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 (49228 ÷ 4 = 12307)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.
7No (remainder 4)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 7)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 3)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 49228 a prime number?

No. 49228 = 222^{2} × 31 × 397, so it is divisible by 2.

What are the factors of 49228?

1, 2, 4, 31, 62, 124, 397, 794, 1588, 12307, 24614, 49228.

What is 49228 in binary?

1100000001001100 (hexadecimal C04C, octal 140114).

What is the square root of 49228?

About 221.8738, exactly 2√12307.

Is 49228 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 49228?

It is a composite number with 12 divisors.

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    49228: is it prime? Factors, square root, binary, Roman numeral | WordGPT