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8748 = 2237
BaseRepresentation
bin10001000101100
3110000000
42020230
5234443
6104300
734335
oct21054
913000
108748
116633
125090
133c9c
14328c
1528d3
hex222c

8748 has 24 divisors (see below), whose sum is σ = 22960. Its totient is φ = 2916.

The previous prime is 8747. The next prime is 8753. The reversal of 8748 is 8478.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 16.

It is a nialpdrome in base 3 and base 11.

It is a zygodrome in base 3 and base 11.

It is not an unprimeable number, because it can be changed into a prime (8741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2915 + 2916 + 2917.

28748 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11480).

8748 is an abundant number, since it is smaller than the sum of its proper divisors (14212).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8748 is an equidigital number, since it uses as much as digits as its factorization.

8748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25 (or 5 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 8748 is about 93.5307436087. The cubic root of 8748 is about 20.6048563660.

The spelling of 8748 in words is "eight thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 8748