54742576 has 80 divisors (see below), whose sum is σ = 128563200. Its totient is φ = 22074624.

The previous prime is 54742549. The next prime is 54742577. The reversal of 54742576 is 67524745.

It is not an unprimeable number, because it can be changed into a prime (54742577) 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 15 ways as a sum of consecutive naturals, for example, 203370 + ... + 203638.

It is an arithmetic number, because the mean of its divisors is an integer number (1607040).

Almost surely, 2^54742576 is an apocalyptic number.

54742576 is a gapful number since it is divisible by the number (56) 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 54742576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64281600).

54742576 is an abundant number, since it is smaller than the sum of its proper divisors (73820624).

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

54742576 is a wasteful number, since it uses less digits than its factorization.

54742576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its digits is 235200, while the sum is 40.

The square root of 54742576 is about 7398.8226090372. The cubic root of 54742576 is about 379.7010021030.

The spelling of 54742576 in words is "fifty-four million, seven hundred forty-two thousand, five hundred seventy-six".