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The number 49348

49348 is a composite number with 18 divisors. Its prime factorisation is 222^{2} × 13213^{2} × 73. Divisors (18): 1, 2, 4, 13, 26, 52, 73, 146, 169, 292, 338, 676, 949, 1898, 3796, 12337 … 49348.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    49348 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

    49348 is composite. Its prime factorisation is

    49348=22×132×7349348 = 2^{2} \times 13^{2} \times 73
  3. 3

    The divisors add up to 94794; without 49348 itself that is 45446, so 49348 is deficient (45446 is less than 49348). Euler's totient φ(49348) = 22464 numbers up to 49348 share no factor with it.

  4. 4

    The digits of 49348 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.

LaTeX source of the formulas on this page
\[ 49348 = 2^{2} \times 13^{2} \times 73 \]

49348 at a glance

PropertyValue
Typecomposite
Number of divisors18
Sum of divisors94794
Euler totient φ(n)22464
Square2435225104
Cube120173488432192
Square root222.144097 (= 26√73)
Digit sum / digital root28 / 1
Collatz steps to 1114
Scientific notation4.9348 × 10410^{4}

49348 in other forms

FormValue
In wordsforty-nine thousand three hundred and forty-eight
Binary (base 2)1100000011000100
Octal (base 8)140304
Hexadecimal (base 16)C0C4
Base 32111200201
As time49348 seconds = 13 h 42 min 28 s

Is 49348 divisible by 2 to 12?

DivisorAnswerRule
2Yes (49348 ÷ 2 = 24674)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 (49348 ÷ 4 = 12337)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 5)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 2)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 49348 a prime number?

No. 49348 = 222^{2} × 13213^{2} × 73, so it is divisible by 2.

What are the factors of 49348?

1, 2, 4, 13, 26, 52, 73, 146, 169, 292, 338, 676, 949, 1898, 3796, 12337, 24674, 49348.

What is 49348 in binary?

1100000011000100 (hexadecimal C0C4, octal 140304).

What is the square root of 49348?

About 222.1441, exactly 26√73.

Is 49348 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 49348?

It is a composite number with 18 divisors.

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    49348: is it prime? Factors, square root, binary, Roman numeral | WordGPT