42397536 has 96 divisors (see below), whose sum is σ = 117059040. Its totient is φ = 13418496.

The previous prime is 42397519. The next prime is 42397543. The reversal of 42397536 is 63579324.

42397536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 42397494 and 42397503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269970 + ... + 270126.

It is an arithmetic number, because the mean of its divisors is an integer number (1219365).

Almost surely, 2^42397536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42397536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58529520).

42397536 is an abundant number, since it is smaller than the sum of its proper divisors (74661504).

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

42397536 is a wasteful number, since it uses less digits than its factorization.

42397536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its digits is 136080, while the sum is 39.

The square root of 42397536 is about 6511.3390327950. The cubic root of 42397536 is about 348.6959253784.

It can be divided in two parts, 4239 and 7536, that multiplied together give a square (31945104 = 5652²).

The spelling of 42397536 in words is "forty-two million, three hundred ninety-seven thousand, five hundred thirty-six".