Search a number
-
+
9552 = 243199
BaseRepresentation
bin10010101010000
3111002210
42111100
5301202
6112120
736564
oct22520
914083
109552
1171a4
125640
13446a
1436a4
152c6c
hex2550

9552 has 20 divisors (see below), whose sum is σ = 24800. Its totient is φ = 3168.

The previous prime is 9551. The next prime is 9587. The reversal of 9552 is 2559.

It is a plaindrome in base 13.

It is a nialpdrome in base 4 and base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9551) 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 3 ways as a sum of consecutive naturals, for example, 52 + ... + 147.

It is an arithmetic number, because the mean of its divisors is an integer number (1240).

29552 is an apocalyptic number.

It is an amenable number.

9552 is an abundant number, since it is smaller than the sum of its proper divisors (15248).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12400).

9552 is a wasteful number, since it uses less digits than its factorization.

9552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

The product of its digits is 450, while the sum is 21.

The square root of 9552 is about 97.7343337830. The cubic root of 9552 is about 21.2176902302.

It can be divided in two parts, 9 and 552, that added together give a triangular number (561 = T33).

The spelling of 9552 in words is "nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 199 398 597 796 1194 1592 2388 3184 4776 9552