42182304 has 48 divisors (see below), whose sum is σ = 117246528. Its totient is φ = 13233152.

The previous prime is 42182291. The next prime is 42182341. The reversal of 42182304 is 40328124.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11292 + ... + 14555.

It is an arithmetic number, because the mean of its divisors is an integer number (2442636).

Almost surely, 2^42182304 is an apocalyptic number.

It is an amenable number.

42182304 is an abundant number, since it is smaller than the sum of its proper divisors (75064224).

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

42182304 is a wasteful number, since it uses less digits than its factorization.

42182304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25877 (or 25869 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 42182304 is about 6494.7905278000. The cubic root of 42182304 is about 348.1048699664.

It can be divided in two parts, 42182 and 304, that added together give a triangular number (42486 = T₂₉₁).

The spelling of 42182304 in words is "forty-two million, one hundred eighty-two thousand, three hundred four".