54049632 has 192 divisors, whose sum is σ = 182891520. Its totient is φ = 13584384.

The previous prime is 54049631. The next prime is 54049643. The reversal of 54049632 is 23694045.

54049632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 54049593 and 54049602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54049631) 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 31 ways as a sum of consecutive naturals, for example, 200794 + ... + 201062.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 2^54049632 is an apocalyptic number.

54049632 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54049632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91445760).

54049632 is an abundant number, since it is smaller than the sum of its proper divisors (128841888).

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

54049632 is a wasteful number, since it uses less digits than its factorization.

54049632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 54049632 is about 7351.8454825982. The cubic root of 54049632 is about 378.0920802523.

The spelling of 54049632 in words is "fifty-four million, forty-nine thousand, six hundred thirty-two".