54349248 has 112 divisors (see below), whose sum is σ = 152887680. Its totient is φ = 17009664.

The previous prime is 54349247. The next prime is 54349283. The reversal of 54349248 is 84294345.

54349248 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 (54349247) 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 15 ways as a sum of consecutive naturals, for example, 239311 + ... + 239537.

Almost surely, 2^54349248 is an apocalyptic number.

54349248 is a gapful number since it is divisible by the number (58) 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 54349248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76443840).

54349248 is an abundant number, since it is smaller than the sum of its proper divisors (98538432).

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

54349248 is a wasteful number, since it uses less digits than its factorization.

54349248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 304 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 54349248 is about 7372.1942459488. The cubic root of 54349248 is about 378.7894254725.

The spelling of 54349248 in words is "fifty-four million, three hundred forty-nine thousand, two hundred forty-eight".