42153829 has 6 divisors (see below), whose sum is σ = 44779634. Its totient is φ = 39673920.

The previous prime is 42153817. The next prime is 42153833. The reversal of 42153829 is 92835124.

42153829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 9641025 + 32512804 = 3105^2 + 5702^2 .

It is not a de Polignac number, because 42153829 - 2¹⁹ = 41629541 is a prime.

It is a super-2 number, since 2×42153829² = 3553890598722482, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42153794 and 42153803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42153869) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 72642 + ... + 73219.

Almost surely, 2^42153829 is an apocalyptic number.

It is an amenable number.

42153829 is a deficient number, since it is larger than the sum of its proper divisors (2625805).

42153829 is a wasteful number, since it uses less digits than its factorization.

42153829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145895 (or 145878 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The square root of 42153829 is about 6492.5980162028. The cubic root of 42153829 is about 348.0265233891.

The spelling of 42153829 in words is "forty-two million, one hundred fifty-three thousand, eight hundred twenty-nine".