42149376 has 80 divisors (see below), whose sum is σ = 124806000. Its totient is φ = 14045184.

The previous prime is 42149369. The next prime is 42149377. The reversal of 42149376 is 67394124.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42149376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42149377) by changing a digit.

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, 12300 + ... + 15348.

It is an arithmetic number, because the mean of its divisors is an integer number (1560075).

Almost surely, 2^42149376 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 42149376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62403000).

42149376 is an abundant number, since it is smaller than the sum of its proper divisors (82656624).

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

42149376 is an equidigital number, since it uses as much as digits as its factorization.

42149376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076 (or 3054 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 42149376 is about 6492.2550781681. The cubic root of 42149376 is about 348.0142681427.

The spelling of 42149376 in words is "forty-two million, one hundred forty-nine thousand, three hundred seventy-six".