42762852 has 54 divisors (see below), whose sum is σ = 118827254. Its totient is φ = 12957120.

The previous prime is 42762847. The next prime is 42762893. The reversal of 42762852 is 25826724.

42762852 is a `hidden beast` number, since 4 + 27 + 628 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42693156 + 69696 = 6534^2 + 264^2 .

It is a super-2 number, since 2×42762852² = 3657323022347808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 553 + ... + 9264.

Almost surely, 2^42762852 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42762852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59413627).

42762852 is an abundant number, since it is smaller than the sum of its proper divisors (76064402).

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

42762852 is a wasteful number, since it uses less digits than its factorization.

42762852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9849 (or 9833 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 42762852 is about 6539.3311584596. The cubic root of 42762852 is about 349.6945689141.

The spelling of 42762852 in words is "forty-two million, seven hundred sixty-two thousand, eight hundred fifty-two".