42252600 has 96 divisors (see below), whose sum is σ = 141084720. Its totient is φ = 10398720.

The previous prime is 42252593. The next prime is 42252601. The reversal of 42252600 is 625224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42252601) 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 23 ways as a sum of consecutive naturals, for example, 5092 + ... + 10508.

Almost surely, 2^42252600 is an apocalyptic number.

42252600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42252600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70542360).

42252600 is an abundant number, since it is smaller than the sum of its proper divisors (98832120).

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

42252600 is a wasteful number, since it uses less digits than its factorization.

42252600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5449 (or 5440 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 42252600 is about 6500.1999969232. The cubic root of 42252600 is about 348.2981326781.

Adding to 42252600 its reverse (625224), we get a palindrome (42877824).

The spelling of 42252600 in words is "forty-two million, two hundred fifty-two thousand, six hundred".