42169248 has 288 divisors, whose sum is σ = 148599360. Its totient is φ = 11612160.

The previous prime is 42169223. The next prime is 42169249. The reversal of 42169248 is 84296124.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42169249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1454098 + ... + 1454126.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 2^42169248 is an apocalyptic number.

42169248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42169248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299680).

42169248 is an abundant number, since it is smaller than the sum of its proper divisors (106430112).

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

42169248 is a wasteful number, since it uses less digits than its factorization.

42169248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 62 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 42169248 is about 6493.7853367662. The cubic root of 42169248 is about 348.0689518544.

The spelling of 42169248 in words is "forty-two million, one hundred sixty-nine thousand, two hundred forty-eight".