42048153 has 20 divisors (see below), whose sum is σ = 71786880. Its totient is φ = 24027192.

The previous prime is 42048119. The next prime is 42048161. The reversal of 42048153 is 35184024.

It is not a de Polignac number, because 42048153 - 2¹⁶ = 41982617 is a prime.

It is a super-3 number, since 3×42048153³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42048553) 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 19 ways as a sum of consecutive naturals, for example, 36513 + ... + 37646.

It is an arithmetic number, because the mean of its divisors is an integer number (3589344).

Almost surely, 2^42048153 is an apocalyptic number.

It is an amenable number.

42048153 is a deficient number, since it is larger than the sum of its proper divisors (29738727).

42048153 is an equidigital number, since it uses as much as digits as its factorization.

42048153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74178 (or 74169 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 42048153 is about 6484.4547187871. The cubic root of 42048153 is about 347.7354559047.

The spelling of 42048153 in words is "forty-two million, forty-eight thousand, one hundred fifty-three".