42642152 has 48 divisors (see below), whose sum is σ = 93677220. Its totient is φ = 18144000.

The previous prime is 42642133. The next prime is 42642179. The reversal of 42642152 is 25124624.

It can be written as a sum of positive squares in 2 ways, for example, as 41654116 + 988036 = 6454^2 + 994^2 .

It is a super-2 number, since 2×42642152² = 3636706254382208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

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, 70652 + ... + 71252.

Almost surely, 2^42642152 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 42642152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46838610).

42642152 is an abundant number, since it is smaller than the sum of its proper divisors (51035068).

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

42642152 is a wasteful number, since it uses less digits than its factorization.

42642152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 791 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 42642152 is about 6530.0958645337. The cubic root of 42642152 is about 349.3652495297.

Adding to 42642152 its reverse (25124624), we get a palindrome (67766776).

The spelling of 42642152 in words is "forty-two million, six hundred forty-two thousand, one hundred fifty-two".