35483252 has 36 divisors (see below), whose sum is σ = 72610020. Its totient is φ = 15128064.

The previous prime is 35483209. The next prime is 35483257. The reversal of 35483252 is 25238453.

It can be written as a sum of positive squares in 2 ways, for example, as 6280036 + 29203216 = 2506^2 + 5404^2 .

It is a super-2 number, since 2×35483252² = 2518122344991008, which contains 22 as substring.

Its product of digits (28800) is a multiple of the sum of its prime factors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35483257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52388 + ... + 53060.

It is an arithmetic number, because the mean of its divisors is an integer number (2016945).

Almost surely, 2^35483252 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 35483252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36305010).

35483252 is an abundant number, since it is smaller than the sum of its proper divisors (37126768).

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

35483252 is a wasteful number, since it uses less digits than its factorization.

35483252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 951 counting only the distinct ones).

The product of its digits is 28800, while the sum is 32.

The square root of 35483252 is about 5956.7820171633. The cubic root of 35483252 is about 328.6052304409.

The spelling of 35483252 in words is "thirty-five million, four hundred eighty-three thousand, two hundred fifty-two".