42833952 has 72 divisors (see below), whose sum is σ = 139216896. Its totient is φ = 12237696.

The previous prime is 42833887. The next prime is 42833953. The reversal of 42833952 is 25933824.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (42833953) 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, 8608 + ... + 12639.

It is an arithmetic number, because the mean of its divisors is an integer number (1933568).

Almost surely, 2^42833952 is an apocalyptic number.

42833952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42833952 is an abundant number, since it is smaller than the sum of its proper divisors (96382944).

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

42833952 is a wasteful number, since it uses less digits than its factorization.

42833952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21270 (or 21259 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 42833952 is about 6544.7652364313. The cubic root of 42833952 is about 349.8882690977. Note that the first 3 decimals are identical.

The spelling of 42833952 in words is "forty-two million, eight hundred thirty-three thousand, nine hundred fifty-two".