42797952 has 96 divisors (see below), whose sum is σ = 124750080. Its totient is φ = 14082048.

The previous prime is 42797947. The next prime is 42797971. The reversal of 42797952 is 25979724.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 42797898 and 42797907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111553 + ... + 111935.

It is an arithmetic number, because the mean of its divisors is an integer number (1299480).

Almost surely, 2^42797952 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 42797952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62375040).

42797952 is an abundant number, since it is smaller than the sum of its proper divisors (81952128).

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

42797952 is a wasteful number, since it uses less digits than its factorization.

42797952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 485 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 42797952 is about 6542.0143686788. The cubic root of 42797952 is about 349.7902198671.

The spelling of 42797952 in words is "forty-two million, seven hundred ninety-seven thousand, nine hundred fifty-two".