54432 has 72 divisors (see below), whose sum is σ = 183456. Its totient is φ = 15552.

The previous prime is 54421. The next prime is 54437. The reversal of 54432 is 23445.

Adding to 54432 its reverse (23445), we get a palindrome (77877).

It can be divided in two parts, 5443 and 2, that added together give a palindrome (5445).

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

Its product of digits (480) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 6 and base 10.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (54437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7773 + ... + 7779.

It is an arithmetic number, because the mean of its divisors is an integer number (2548).

54432 is a Friedman number, since it can be written as (4+3)*(4+2)^5, using all its digits and the basic arithmetic operations.

2^{54432} 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 54432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91728).

54432 is an abundant number, since it is smaller than the sum of its proper divisors (129024).

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

54432 is an equidigital number, since it uses as much as digits as its factorization.

54432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 12 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 54432 is about 233.3066651427. The cubic root of 54432 is about 37.8981575859.

The spelling of 54432 in words is "fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1512 1701 1944 2016 2268 2592 3024 3402 3888 4536 6048 6804 7776 9072 13608 18144 27216 54432

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