42350208 has 64 divisors (see below), whose sum is σ = 116402400. Its totient is φ = 13626368.

The previous prime is 42350197. The next prime is 42350219. The reversal of 42350208 is 80205324.

It is an interprime number because it is at equal distance from previous prime (42350197) and next prime (42350219).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9235 + ... + 13037.

Almost surely, 2^42350208 is an apocalyptic number.

42350208 is a gapful number since it is divisible by the number (48) 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 42350208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58201200).

42350208 is an abundant number, since it is smaller than the sum of its proper divisors (74052192).

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

42350208 is a wasteful number, since it uses less digits than its factorization.

42350208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849 (or 3837 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 42350208 is about 6507.7037424886. The cubic root of 42350208 is about 348.5661283283.

The spelling of 42350208 in words is "forty-two million, three hundred fifty thousand, two hundred eight".