54837952 has 56 divisors (see below), whose sum is σ = 123393200. Its totient is φ = 23970816.

The previous prime is 54837931. The next prime is 54837961. The reversal of 54837952 is 25973845.

It is a junction number, because it is equal to n+sod(n) for n = 54837899 and 54837908.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14074 + ... + 17542.

It is an arithmetic number, because the mean of its divisors is an integer number (2203450).

Almost surely, 2^54837952 is an apocalyptic number.

54837952 is a gapful number since it is divisible by the number (52) 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 54837952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61696600).

54837952 is an abundant number, since it is smaller than the sum of its proper divisors (68555248).

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

54837952 is a wasteful number, since it uses less digits than its factorization.

54837952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513 (or 3503 counting only the distinct ones).

The product of its digits is 302400, while the sum is 43.

The square root of 54837952 is about 7405.2651539293. The cubic root of 54837952 is about 379.9213872468.

The spelling of 54837952 in words is "fifty-four million, eight hundred thirty-seven thousand, nine hundred fifty-two".