42048240 has 80 divisors (see below), whose sum is σ = 140386848. Its totient is φ = 10349568.

The previous prime is 42048233. The next prime is 42048241. The reversal of 42048240 is 4284024.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42048240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42048241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3619 + ... + 9858.

Almost surely, 2^42048240 is an apocalyptic number.

42048240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42048240 is an abundant number, since it is smaller than the sum of its proper divisors (98338608).

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

42048240 is a wasteful number, since it uses less digits than its factorization.

42048240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13506 (or 13500 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 42048240 is about 6484.4614271349. The cubic root of 42048240 is about 347.7356957327.

The spelling of 42048240 in words is "forty-two million, forty-eight thousand, two hundred forty".