54526032 has 120 divisors (see below), whose sum is σ = 172355040. Its totient is φ = 15939840.

The previous prime is 54526019. The next prime is 54526033. The reversal of 54526032 is 23062545.

54526032 is a `hidden beast` number, since 5 + 4 + 52 + 603 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54525987 and 54526005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54526033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45343 + ... + 46529.

It is an arithmetic number, because the mean of its divisors is an integer number (1436292).

Almost surely, 2^54526032 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 54526032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86177520).

54526032 is an abundant number, since it is smaller than the sum of its proper divisors (117829008).

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

54526032 is a wasteful number, since it uses less digits than its factorization.

54526032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 54526032 is about 7384.1744291424. The cubic root of 54526032 is about 379.1996822088.

Adding to 54526032 its reverse (23062545), we get a palindrome (77588577).

The spelling of 54526032 in words is "fifty-four million, five hundred twenty-six thousand, thirty-two".