26892

26892 is a natural number that lies between 26891 and 26893. It is an even composite number, and its prime factorization is 2^2 × 3^4 × 83. This factorization implies that 26892 has 30 positive divisors, since the divisor-counting function for prime powers gives (2+1)(4+1)(1+1) = 30.

The number has several notable divisibility properties. It is divisible by 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, and 81, among others, as well as by 83 (and by combinations with these factors, such as 166, 249, 332, and 498). The sum of its decimal digits is 2+6+8+9+2 = 27, so 26892 is divisible by 27 (indeed 26892 = 27 × 996) and also by 81 (26892 = 81 × 332). This makes 26892 a Harshad number in base 10, since it is divisible by the sum of its digits.

Expressed in alternative factorizations, 26892 = 81 × 332 = 4 × 6723, illustrating the same prime components in different groupings. The number’s factors and divisor structure make it a convenient example in elementary number theory for illustrating divisor counts, factorization, and Harshad properties.