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8352 = 253229
BaseRepresentation
bin10000010100000
3102110100
42002200
5231402
6102400
733231
oct20240
912410
108352
116303
124a00
133a56
143088
15271c
hex20a0

8352 has 36 divisors (see below), whose sum is σ = 24570. Its totient is φ = 2688.

The previous prime is 8329. The next prime is 8353. The reversal of 8352 is 2538.

8352 = T8 + T9 + ... + T36.

It can be written as a sum of positive squares in only one way, i.e., 7056 + 1296 = 84^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 8 + 53 + 33 + 213 .

It is not an unprimeable number, because it can be changed into a prime (8353) by changing a digit.

8352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 274 + ... + 302.

28352 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 8352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12285).

8352 is an abundant number, since it is smaller than the sum of its proper divisors (16218).

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

8352 is a wasteful number, since it uses less digits than its factorization.

8352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 34 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 8352 is about 91.3892772704. The cubic root of 8352 is about 20.2891332879.

8352 divided by its sum of digits (18) gives a palindrome (464).

The spelling of 8352 in words is "eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352