42671952 has 60 divisors (see below), whose sum is σ = 122665140. Its totient is φ = 13837824.

The previous prime is 42671869. The next prime is 42671957. The reversal of 42671952 is 25917624.

It can be written as a sum of positive squares in 2 ways, for example, as 33454656 + 9217296 = 5784^2 + 3036^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42671957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1324 + ... + 9332.

It is an arithmetic number, because the mean of its divisors is an integer number (2044419).

Almost surely, 2^42671952 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 42671952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61332570).

42671952 is an abundant number, since it is smaller than the sum of its proper divisors (79993188).

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

42671952 is a wasteful number, since it uses less digits than its factorization.

42671952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8060 (or 8051 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 42671952 is about 6532.3772089493. The cubic root of 42671952 is about 349.4466139361.

The spelling of 42671952 in words is "forty-two million, six hundred seventy-one thousand, nine hundred fifty-two".