54031824 has 180 divisors, whose sum is σ = 190383648. Its totient is φ = 14002560.

The previous prime is 54031823. The next prime is 54031847. The reversal of 54031824 is 42813045.

54031824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54031823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121747 + ... + 122189.

Almost surely, 2^54031824 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 54031824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95191824).

54031824 is an abundant number, since it is smaller than the sum of its proper divisors (136351824).

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

54031824 is a wasteful number, since it uses less digits than its factorization.

54031824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 54031824 is about 7350.6342583481. The cubic root of 54031824 is about 378.0505517342.

Adding to 54031824 its reverse (42813045), we get a palindrome (96844869).

It can be divided in two parts, 5403 and 1824, that added together give a palindrome (7227).

The spelling of 54031824 in words is "fifty-four million, thirty-one thousand, eight hundred twenty-four".