Search a number
BaseRepresentation
bin100110000101…
…010100000000
3200210012102100
4212011110000
510023430412
6553550400
7150566430
oct46052400
920705370
109983232
1156a9606
123415400
1320b704c
14147c2c0
15d22edc
hex985500

9983232 has 108 divisors (see below), whose sum is σ = 32949280. Its totient is φ = 2847744.

The previous prime is 9983231. The next prime is 9983243. The reversal of 9983232 is 2323899.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a d-powerful number, because it can be written as 9 + 9 + 8 + 35 + 25 + 313 + 223 .

Its product of digits (23328) is a multiple of the sum of its prime factors (648).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9983231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15819 + ... + 16437.

Almost surely, 29983232 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 9983232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16474640).

9983232 is an abundant number, since it is smaller than the sum of its proper divisors (22966048).

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

9983232 is a wasteful number, since it uses less digits than its factorization.

9983232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 631 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 9983232 is about 3159.6252942398. The cubic root of 9983232 is about 215.3229830982.

The spelling of 9983232 in words is "nine million, nine hundred eighty-three thousand, two hundred thirty-two".