54819152 has 60 divisors (see below), whose sum is σ = 116192340. Its totient is φ = 24966144.

The previous prime is 54819151. The next prime is 54819179. The reversal of 54819152 is 25191845.

It can be written as a sum of positive squares in 2 ways, for example, as 40500496 + 14318656 = 6364^2 + 3784^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54819151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 502874 + ... + 502982.

It is an arithmetic number, because the mean of its divisors is an integer number (1936539).

Almost surely, 2^54819152 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 54819152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58096170).

54819152 is an abundant number, since it is smaller than the sum of its proper divisors (61373188).

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

54819152 is a wasteful number, since it uses less digits than its factorization.

54819152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 171 counting only the distinct ones).

The product of its digits is 14400, while the sum is 35.

The square root of 54819152 is about 7403.9956780106. The cubic root of 54819152 is about 379.8779663543.

The spelling of 54819152 in words is "fifty-four million, eight hundred nineteen thousand, one hundred fifty-two".