54438336 has 84 divisors (see below), whose sum is σ = 161467800. Its totient is φ = 17515008.

The previous prime is 54438331. The next prime is 54438341. The reversal of 54438336 is 63383445.

54438336 is a `hidden beast` number, since 544 + 3 + 83 + 36 = 666.

54438336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54438331) and next prime (54438341).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 54438336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54438331) 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 11 ways as a sum of consecutive naturals, for example, 15075 + ... + 18333.

Almost surely, 2^54438336 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 54438336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80733900).

54438336 is an abundant number, since it is smaller than the sum of its proper divisors (107029464).

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

54438336 is a wasteful number, since it uses less digits than its factorization.

54438336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306 (or 3293 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 54438336 is about 7378.2339350281. The cubic root of 54438336 is about 378.9962800414.

The spelling of 54438336 in words is "fifty-four million, four hundred thirty-eight thousand, three hundred thirty-six".