42910848 has 72 divisors (see below), whose sum is σ = 124123545. Its totient is φ = 14229504.

The previous prime is 42910843. The next prime is 42910849. The reversal of 42910848 is 84801924.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 39841344 + 3069504 = 6312^2 + 1752^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4632.

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

It is not an unprimeable number, because it can be changed into a prime (42910843) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 222240 + ... + 222432.

Almost surely, 2^42910848 is an apocalyptic number.

42910848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42910848

42910848 is an abundant number, since it is smaller than the sum of its proper divisors (81212697).

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

42910848 is an equidigital number, since it uses as much as digits as its factorization.

42910848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 42910848 is about 6550.6372209122. The cubic root of 42910848 is about 350.0975184047.

Multiplying 42910848 by its product of nonzero digits (18432), we get a square (790932750336 = 889344²).

The spelling of 42910848 in words is "forty-two million, nine hundred ten thousand, eight hundred forty-eight".