30989952 has 240 divisors, whose sum is σ = 109041570. Its totient is φ = 8709120.

The previous prime is 30989939. The next prime is 30989989. The reversal of 30989952 is 25998903.

It can be written as a sum of positive squares in only one way, i.e., 30735936 + 254016 = 5544^2 + 504^2 .

It is a junction number, because it is equal to n+sod(n) for n = 30989898 and 30989907.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 508002 + ... + 508062.

Almost surely, 2^30989952 is an apocalyptic number.

30989952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30989952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54520785).

30989952 is an abundant number, since it is smaller than the sum of its proper divisors (78051618).

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

30989952 is an equidigital number, since it uses as much as digits as its factorization.

30989952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 30989952 is about 5566.8619526624. The cubic root of 30989952 is about 314.1041211491.

The spelling of 30989952 in words is "thirty million, nine hundred eighty-nine thousand, nine hundred fifty-two".