202871952 has 70 divisors (see below), whose sum is σ = 589360902. Its totient is φ = 67620096.

The previous prime is 202871947. The next prime is 202871953. The reversal of 202871952 is 259178202.

It can be written as a sum of positive squares in only one way, i.e., 148937616 + 53934336 = 12204^2 + 7344^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (202871953) 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 13 ways as a sum of consecutive naturals, for example, 2968 + ... + 20360.

Almost surely, 2^202871952 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 202871952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294680451).

202871952 is an abundant number, since it is smaller than the sum of its proper divisors (386488950).

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

202871952 is an equidigital number, since it uses as much as digits as its factorization.

202871952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17419 (or 17398 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 202871952 is about 14243.3125360641. The cubic root of 202871952 is about 587.5894677086.

The spelling of 202871952 in words is "two hundred two million, eight hundred seventy-one thousand, nine hundred fifty-two".