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The number 56488

56488 is a composite number with 16 divisors. Its prime factorisation is 232^{3} × 23 × 307. Divisors (16): 1, 2, 4, 8, 23, 46, 92, 184, 307, 614, 1228, 2456, 7061, 14122, 28244, 56488.

Number

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How to work it out

  1. 1

    56488 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

    56488 is composite. Its prime factorisation is

    56488=23×23×30756488 = 2^{3} \times 23 \times 307
  3. 3

    The divisors add up to 110880; without 56488 itself that is 54392, so 56488 is deficient (54392 is less than 56488). Euler's totient φ(56488) = 26928 numbers up to 56488 share no factor with it.

  4. 4

    The digits of 56488 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.

LaTeX source of the formulas on this page
\[ 56488 = 2^{3} \times 23 \times 307 \]

56488 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors110880
Euler totient φ(n)26928
Square3190894144
Cube180247228406272
Square root237.672043 (= 2√14122)
Digit sum / digital root31 / 4
Collatz steps to 134
Scientific notation5.6488 × 10410^{4}

56488 in other forms

FormValue
In wordsfifty-six thousand four hundred and eighty-eight
Binary (base 2)1101110010101000
Octal (base 8)156250
Hexadecimal (base 16)DCA8
Base 32212111011
As time56488 seconds = 15 h 41 min 28 s

Is 56488 divisible by 2 to 12?

DivisorAnswerRule
2Yes (56488 ÷ 2 = 28244)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 (56488 ÷ 4 = 14122)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.
8Yes (56488 ÷ 8 = 7061)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)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 56488 a prime number?

No. 56488 = 232^{3} × 23 × 307, so it is divisible by 2.

What are the factors of 56488?

1, 2, 4, 8, 23, 46, 92, 184, 307, 614, 1228, 2456, 7061, 14122, 28244, 56488.

What is 56488 in binary?

1101110010101000 (hexadecimal DCA8, octal 156250).

What is the square root of 56488?

About 237.6720, exactly 2√14122.

Is 56488 divisible by 3?

No. Its digits add up to 31, which is not a multiple of 3.

What is special about the number 56488?

It is a composite number with 16 divisors.

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    56488: is it prime? Factors, square root, binary, Roman numeral | WordGPT