42092952 has 128 divisors (see below), whose sum is σ = 124104960. Its totient is φ = 11755520.

The previous prime is 42092929. The next prime is 42092959. The reversal of 42092952 is 25929024.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42092959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372448 + ... + 372560.

It is an arithmetic number, because the mean of its divisors is an integer number (969570).

Almost surely, 2^42092952 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 42092952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62052480).

42092952 is an abundant number, since it is smaller than the sum of its proper divisors (82012008).

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

42092952 is a wasteful number, since it uses less digits than its factorization.

42092952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 42092952 is about 6487.9081374508. The cubic root of 42092952 is about 347.8589069991.

The spelling of 42092952 in words is "forty-two million, ninety-two thousand, nine hundred fifty-two".