54875952 has 120 divisors (see below), whose sum is σ = 167132160. Its totient is φ = 16744320.

The previous prime is 54875911. The next prime is 54875963. The reversal of 54875952 is 25957845.

54875952 is a `hidden beast` number, since 54 + 8 + 7 + 595 + 2 = 666.

It is a super-2 number, since 2×54875952² = 6022740215812608, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 54875898 and 54875907.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84493 + ... + 85139.

It is an arithmetic number, because the mean of its divisors is an integer number (1392768).

Almost surely, 2^54875952 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 54875952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83566080).

54875952 is an abundant number, since it is smaller than the sum of its proper divisors (112256208).

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

54875952 is a wasteful number, since it uses less digits than its factorization.

54875952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 702 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 54875952 is about 7407.8304516235. The cubic root of 54875952 is about 380.0091225880.

The spelling of 54875952 in words is "fifty-four million, eight hundred seventy-five thousand, nine hundred fifty-two".