42766542 has 96 divisors (see below), whose sum is σ = 118390272. Its totient is φ = 11267424.

The previous prime is 42766523. The next prime is 42766589. The reversal of 42766542 is 24566724.

42766542 is a `hidden beast` number, since 42 + 76 + 6 + 542 = 666.

It is a super-2 number, since 2×42766542² = 3657954229275528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42766497 and 42766506.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 43743 + ... + 44709.

It is an arithmetic number, because the mean of its divisors is an integer number (1233232).

Almost surely, 2^42766542 is an apocalyptic number.

42766542 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42766542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59195136).

42766542 is an abundant number, since it is smaller than the sum of its proper divisors (75623730).

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

42766542 is a wasteful number, since it uses less digits than its factorization.

42766542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 992 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 42766542 is about 6539.6132913193. The cubic root of 42766542 is about 349.7046269886.

The spelling of 42766542 in words is "forty-two million, seven hundred sixty-six thousand, five hundred forty-two".