42533920 has 144 divisors (see below), whose sum is σ = 119652120. Its totient is φ = 14277120.

The previous prime is 42533903. The next prime is 42533921. The reversal of 42533920 is 2933524.

It can be written as a sum of positive squares in 4 ways, for example, as 698896 + 41835024 = 836^2 + 6468^2 .

It is not an unprimeable number, because it can be changed into a prime (42533921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3271834 + ... + 3271846.

Almost surely, 2^42533920 is an apocalyptic number.

42533920 is a gapful number since it is divisible by the number (40) 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 42533920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59826060).

42533920 is an abundant number, since it is smaller than the sum of its proper divisors (77118200).

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

42533920 is a wasteful number, since it uses less digits than its factorization.

42533920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 42533920 is about 6521.8034315671. The cubic root of 42533920 is about 349.0694191185.

The spelling of 42533920 in words is "forty-two million, five hundred thirty-three thousand, nine hundred twenty".