54254144 has 56 divisors (see below), whose sum is σ = 123748800. Its totient is φ = 23118336.

The previous prime is 54254141. The next prime is 54254197. The reversal of 54254144 is 44145245.

54254144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (54254141) 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 7 ways as a sum of consecutive naturals, for example, 155282 + ... + 155630.

It is an arithmetic number, because the mean of its divisors is an integer number (2209800).

Almost surely, 2^54254144 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 54254144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61874400).

54254144 is an abundant number, since it is smaller than the sum of its proper divisors (69494656).

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

54254144 is a wasteful number, since it uses less digits than its factorization.

54254144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 705 counting only the distinct ones).

The product of its digits is 12800, while the sum is 29.

The square root of 54254144 is about 7365.7412390064. The cubic root of 54254144 is about 378.5683526645.

Adding to 54254144 its reverse (44145245), we get a palindrome (98399389).

The spelling of 54254144 in words is "fifty-four million, two hundred fifty-four thousand, one hundred forty-four".