42054532 has 48 divisors (see below), whose sum is σ = 84862512. Its totient is φ = 18063360.

The previous prime is 42054527. The next prime is 42054539. The reversal of 42054532 is 23545024.

It can be written as a sum of positive squares in 8 ways, for example, as 18783556 + 23270976 = 4334^2 + 4824^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42054497 and 42054506.

It is not an unprimeable number, because it can be changed into a prime (42054539) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99682 + ... + 100102.

It is an arithmetic number, because the mean of its divisors is an integer number (1767969).

Almost surely, 2^42054532 is an apocalyptic number.

It is an amenable number.

42054532 is an abundant number, since it is smaller than the sum of its proper divisors (42807980).

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

42054532 is a wasteful number, since it uses less digits than its factorization.

42054532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 42054532 is about 6484.9465687853. The cubic root of 42054532 is about 347.7530396522.

Adding to 42054532 its reverse (23545024), we get a palindrome (65599556).

It can be divided in two parts, 4 and 2054532, that multiplied together give a palindrome (8218128).

The spelling of 42054532 in words is "forty-two million, fifty-four thousand, five hundred thirty-two".