42256500 has 192 divisors, whose sum is σ = 145297152. Its totient is φ = 9408000.

The previous prime is 42256483. The next prime is 42256507. The reversal of 42256500 is 565224.

It is a super-2 number, since 2×42256500² = 3571223584500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42256507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214402 + ... + 214598.

It is an arithmetic number, because the mean of its divisors is an integer number (756756).

Almost surely, 2^42256500 is an apocalyptic number.

It is a pronic number, being equal to 6500×6501.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42256500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72648576).

42256500 is an abundant number, since it is smaller than the sum of its proper divisors (103040652).

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

42256500 is a wasteful number, since it uses less digits than its factorization.

42256500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 42256500 is about 6500.4999807707. The cubic root of 42256500 is about 348.3088485546.

The spelling of 42256500 in words is "forty-two million, two hundred fifty-six thousand, five hundred".