42598752 has 48 divisors (see below), whose sum is σ = 127798272. Its totient is φ = 12170880.

The previous prime is 42598739. The next prime is 42598769. The reversal of 42598752 is 25789524.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 31024 + ... + 32367.

It is an arithmetic number, because the mean of its divisors is an integer number (2662464).

Almost surely, 2^42598752 is an apocalyptic number.

42598752 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42598752 is an abundant number, since it is smaller than the sum of its proper divisors (85199520).

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

42598752 is a wasteful number, since it uses less digits than its factorization.

42598752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63411 (or 63403 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 42598752 is about 6526.7719433116. The cubic root of 42598752 is about 349.2466845418.

The spelling of 42598752 in words is "forty-two million, five hundred ninety-eight thousand, seven hundred fifty-two".