54887952 has 160 divisors (see below), whose sum is σ = 172846080. Its totient is φ = 14676480.

The previous prime is 54887893. The next prime is 54887957. The reversal of 54887952 is 25978845.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54887957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418927 + ... + 419057.

It is an arithmetic number, because the mean of its divisors is an integer number (1080288).

Almost surely, 2^54887952 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 54887952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86423040).

54887952 is an abundant number, since it is smaller than the sum of its proper divisors (117958128).

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

54887952 is a wasteful number, since it uses less digits than its factorization.

54887952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its digits is 806400, while the sum is 48.

The square root of 54887952 is about 7408.6403610919. The cubic root of 54887952 is about 380.0368200702.

The spelling of 54887952 in words is "fifty-four million, eight hundred eighty-seven thousand, nine hundred fifty-two".