42893440 has 32 divisors (see below), whose sum is σ = 102543660. Its totient is φ = 17157120.

The previous prime is 42893399. The next prime is 42893441. The reversal of 42893440 is 4439824.

It can be written as a sum of positive squares in 2 ways, for example, as 39237696 + 3655744 = 6264^2 + 1912^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 42893396 and 42893405.

It is not an unprimeable number, because it can be changed into a prime (42893441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32871 + ... + 34150.

Almost surely, 2^42893440 is an apocalyptic number.

42893440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42893440 is an abundant number, since it is smaller than the sum of its proper divisors (59650220).

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

42893440 is an equidigital number, since it uses as much as digits as its factorization.

42893440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67040 (or 67028 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 42893440 is about 6549.3083604301. The cubic root of 42893440 is about 350.0501696790.

The spelling of 42893440 in words is "forty-two million, eight hundred ninety-three thousand, four hundred forty".