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9648 = 243267
BaseRepresentation
bin10010110110000
3111020100
42112300
5302043
6112400
740062
oct22660
914210
109648
117281
125700
134512
143732
152cd3
hex25b0

9648 has 30 divisors (see below), whose sum is σ = 27404. Its totient is φ = 3168.

The previous prime is 9643. The next prime is 9649. The reversal of 9648 is 8469.

It can be divided in two parts, 96 and 48, that added together give a square (144 = 122).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

Its product of digits (1728) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (9643) by changing a digit.

9648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111 + ... + 177.

29648 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 9648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13702).

9648 is an abundant number, since it is smaller than the sum of its proper divisors (17756).

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

9648 is a wasteful number, since it uses less digits than its factorization.

9648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 72 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 9648 is about 98.2242332625. The cubic root of 9648 is about 21.2885344628.

The spelling of 9648 in words is "nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 2412 3216 4824 9648