42893136 has 120 divisors (see below), whose sum is σ = 141095136. Its totient is φ = 11992320.

The previous prime is 42893131. The next prime is 42893161. The reversal of 42893136 is 63139824.

It is a super-2 number, since 2×42893136² = 3679642231828992, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42893136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42893131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19551 + ... + 21633.

Almost surely, 2^42893136 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 42893136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70547568).

42893136 is an abundant number, since it is smaller than the sum of its proper divisors (98202000).

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

42893136 is a wasteful number, since it uses less digits than its factorization.

42893136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2112 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 42893136 is about 6549.2851518315. The cubic root of 42893136 is about 350.0493427032.

The spelling of 42893136 in words is "forty-two million, eight hundred ninety-three thousand, one hundred thirty-six".