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BaseRepresentation
bin10000011110000
3102120022
42003300
5232212
6103012
733404
oct20360
912508
108432
116376
124a68
133ab8
143104
152772
hex20f0

8432 has 20 divisors (see below), whose sum is σ = 17856. Its totient is φ = 3840.

The previous prime is 8431. The next prime is 8443. The reversal of 8432 is 2348.

8432 = T3 + T4 + ... + T36.

8432 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 8432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8431) 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, 257 + ... + 287.

28432 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 8432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928).

8432 is an abundant number, since it is smaller than the sum of its proper divisors (9424).

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

8432 is a wasteful number, since it uses less digits than its factorization.

8432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 50 counting only the distinct ones).

The product of its digits is 192, while the sum is 17.

The square root of 8432 is about 91.8259222660. The cubic root of 8432 is about 20.3537076676.

8432 divided by its sum of digits (17) gives a triangular number (496 = T31).

Subtracting from 8432 its reverse (2348), we obtain a square (6084 = 782).

The spelling of 8432 in words is "eight thousand, four hundred thirty-two".