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The fascinating world of numbers

Number 8208 - properties and curiosities

8208 (number)

8208

Number 8208 properties

  • Harshad
  • Armstrong
  • 8208 is an even number.
  • 8208 is an Armstrong (or Narcissistic) number, which means it is the sum of its own digits each raised to the power of the number of digits.
  • 8208 is a Harshad number, which means it is divisible by the sum of its digits (8208 = 18, and 8208 is divisible by 18).

Prime factorization

Prime factorization of 8208: 2^4 × 3^3 × 19.

Divisors

Divisor count: 40

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 27, 36, 38, 48, 54, 57, 72, 76, 108, 114, 144, 152, 171, 216, 228, 304, 342, 432, 456, 513, 684, 912, 1026, 1368, 2052, 2736, 4104, 8208

Factors of 8208 are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 27, 36, 38, 48, 54, 57, 72, 76, 108, 114, 144, 152, 171, 216, 228, 304, 342, 432.

Representations

In octal, 8208 is represented as 20020.

In binary, 8208 is represented as 10000000010000.

In hex, 8208 is represented as 2010.

Roman numeral: Roman numerals are shown only for 1 to 4999.

Curiosities

  • 8208 is divisible by the sum of its digits.
  • 8208 equals the sum of its digits raised to the number of digits.

Quick answers

Is 8208 prime?
No, 8208 is not prime.

What are the factors of 8208?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 27, 36, 38, 48, 54, 57, 72, 76, 108, 114, 144, 152, 171, 216, 228, 304, 342, 432

What is 8208 in binary?
10000000010000