42268950 has 144 divisors (see below), whose sum is σ = 121867200. Its totient is φ = 10483200.

The previous prime is 42268949. The next prime is 42268951. The reversal of 42268950 is 5986224.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42268949) and next prime (42268951).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42268951) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 535011 + ... + 535089.

It is an arithmetic number, because the mean of its divisors is an integer number (846300).

Almost surely, 2^42268950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42268950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60933600).

42268950 is an abundant number, since it is smaller than the sum of its proper divisors (79598250).

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

42268950 is a wasteful number, since it uses less digits than its factorization.

42268950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 42268950 is about 6501.4575288930. The cubic root of 42268950 is about 348.3430525181.

The spelling of 42268950 in words is "forty-two million, two hundred sixty-eight thousand, nine hundred fifty".