42852810 has 128 divisors (see below), whose sum is σ = 138184704. Its totient is φ = 8213760.

The previous prime is 42852791. The next prime is 42852829. The reversal of 42852810 is 1825824.

42852810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42852791) and next prime (42852829).

It is a super-2 number, since 2×42852810² = 3672726649792200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 29317 + ... + 30743.

It is an arithmetic number, because the mean of its divisors is an integer number (1079568).

Almost surely, 2^42852810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42852810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69092352).

42852810 is an abundant number, since it is smaller than the sum of its proper divisors (95331894).

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

42852810 is a wasteful number, since it uses less digits than its factorization.

42852810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468.

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 42852810 is about 6546.2057712846. The cubic root of 42852810 is about 349.9396086279.

The spelling of 42852810 in words is "forty-two million, eight hundred fifty-two thousand, eight hundred ten".