42253152 has 48 divisors (see below), whose sum is σ = 111449520. Its totient is φ = 14016512.

The previous prime is 42253097. The next prime is 42253153. The reversal of 42253152 is 25135224.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42253153) 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 7 ways as a sum of consecutive naturals, for example, 21424 + ... + 23312.

It is an arithmetic number, because the mean of its divisors is an integer number (2321865).

Almost surely, 2^42253152 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 42253152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55724760).

42253152 is an abundant number, since it is smaller than the sum of its proper divisors (69196368).

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

42253152 is a wasteful number, since it uses less digits than its factorization.

42253152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2127 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 42253152 is about 6500.2424570165. The cubic root of 42253152 is about 348.2996494268.

Adding to 42253152 its reverse (25135224), we get a palindrome (67388376).

The spelling of 42253152 in words is "forty-two million, two hundred fifty-three thousand, one hundred fifty-two".