42098742 has 72 divisors (see below), whose sum is σ = 108037800. Its totient is φ = 11809728.

The previous prime is 42098741. The next prime is 42098767. The reversal of 42098742 is 24789024.

It is a junction number, because it is equal to n+sod(n) for n = 42098697 and 42098706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42098741) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51634 + ... + 52442.

It is an arithmetic number, because the mean of its divisors is an integer number (1500525).

Almost surely, 2^42098742 is an apocalyptic number.

42098742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42098742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54018900).

42098742 is an abundant number, since it is smaller than the sum of its proper divisors (65939058).

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

42098742 is a wasteful number, since it uses less digits than its factorization.

42098742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 42098742 is about 6488.3543368099. The cubic root of 42098742 is about 347.8748559140.

The spelling of 42098742 in words is "forty-two million, ninety-eight thousand, seven hundred forty-two".