42302766 has 64 divisors (see below), whose sum is σ = 100465920. Its totient is φ = 11727360.

The previous prime is 42302753. The next prime is 42302789. The reversal of 42302766 is 66720324.

It is a super-2 number, since 2×42302766² = 3579048022501512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41005 + ... + 42023.

It is an arithmetic number, because the mean of its divisors is an integer number (1569780).

Almost surely, 2^42302766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42302766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50232960).

42302766 is an abundant number, since it is smaller than the sum of its proper divisors (58163154).

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

42302766 is a wasteful number, since it uses less digits than its factorization.

42302766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089.

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 42302766 is about 6504.0576565710. The cubic root of 42302766 is about 348.4359215450.

It can be divided in two parts, 4230 and 2766, that added together give a palindrome (6996).

The spelling of 42302766 in words is "forty-two million, three hundred two thousand, seven hundred sixty-six".