42266000 has 80 divisors (see below), whose sum is σ = 116837760. Its totient is φ = 14486400.

The previous prime is 42265999. The next prime is 42266041. The reversal of 42266000 is 66224.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12491 + ... + 15509.

It is an arithmetic number, because the mean of its divisors is an integer number (1460472).

Almost surely, 2^42266000 is an apocalyptic number.

42266000 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 42266000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58418880).

42266000 is an abundant number, since it is smaller than the sum of its proper divisors (74571760).

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

42266000 is a wasteful number, since it uses less digits than its factorization.

42266000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3049 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 42266000 is about 6501.2306527303. The cubic root of 42266000 is about 348.3349485717.

The spelling of 42266000 in words is "forty-two million, two hundred sixty-six thousand".