42967152 has 80 divisors (see below), whose sum is σ = 124992000. Its totient is φ = 14129856.

The previous prime is 42967123. The next prime is 42967157. The reversal of 42967152 is 25176924.

It is a super-2 number, since 2×42967152² = 3692352301982208, which contains 22 as substring.

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 (42967157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33499 + ... + 34757.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 2^42967152 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 42967152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496000).

42967152 is an abundant number, since it is smaller than the sum of its proper divisors (82024848).

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

42967152 is a wasteful number, since it uses less digits than its factorization.

42967152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1343 counting only the distinct ones).

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

The square root of 42967152 is about 6554.9334092727. The cubic root of 42967152 is about 350.2505743059.

The spelling of 42967152 in words is "forty-two million, nine hundred sixty-seven thousand, one hundred fifty-two".