54353952 has 36 divisors (see below), whose sum is σ = 154569870. Its totient is φ = 18117888.

The previous prime is 54353941. The next prime is 54353953. The reversal of 54353952 is 25935345.

It can be written as a sum of positive squares in only one way, i.e., 37015056 + 17338896 = 6084^2 + 4164^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54353953) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 94077 + ... + 94652.

Almost surely, 2^54353952 is an apocalyptic number.

It is an amenable number.

54353952 is an abundant number, since it is smaller than the sum of its proper divisors (100215918).

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

54353952 is a wasteful number, since it uses less digits than its factorization.

54353952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188745 (or 188734 counting only the distinct ones).

The product of its digits is 81000, while the sum is 36.

The square root of 54353952 is about 7372.5132756747. The cubic root of 54353952 is about 378.8003534008.

The spelling of 54353952 in words is "fifty-four million, three hundred fifty-three thousand, nine hundred fifty-two".