42256200 has 96 divisors (see below), whose sum is σ = 149722560. Its totient is φ = 9657600.

The previous prime is 42256189. The next prime is 42256241. The reversal of 42256200 is 265224.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 831 + ... + 9230.

It is an arithmetic number, because the mean of its divisors is an integer number (1559610).

Almost surely, 2^42256200 is an apocalyptic number.

42256200 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 42256200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74861280).

42256200 is an abundant number, since it is smaller than the sum of its proper divisors (107466360).

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

42256200 is a wasteful number, since it uses less digits than its factorization.

42256200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10087 (or 10078 counting only the distinct ones).

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

The square root of 42256200 is about 6500.4769055816. The cubic root of 42256200 is about 348.3080242798.

The spelling of 42256200 in words is "forty-two million, two hundred fifty-six thousand, two hundred".