852142434 has 64 divisors (see below), whose sum is σ = 2011443840. Its totient is φ = 237265920.

The previous prime is 852142429. The next prime is 852142439. The reversal of 852142434 is 434241258.

It is an interprime number because it is at equal distance from previous prime (852142429) and next prime (852142439).

It is a super-2 number, since 2×852142434² = 1452293455646888712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 852142395 and 852142404.

It is not an unprimeable number, because it can be changed into a prime (852142439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194314 + ... + 198650.

It is an arithmetic number, because the mean of its divisors is an integer number (31428810).

Almost surely, 2^852142434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852142434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005721920).

852142434 is an abundant number, since it is smaller than the sum of its proper divisors (1159301406).

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

852142434 is a wasteful number, since it uses less digits than its factorization.

852142434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4595.

The product of its digits is 30720, while the sum is 33.

The square root of 852142434 is about 29191.4787909075. The cubic root of 852142434 is about 948.0634359979.

The spelling of 852142434 in words is "eight hundred fifty-two million, one hundred forty-two thousand, four hundred thirty-four".