30269952 has 60 divisors (see below), whose sum is σ = 87374430. Its totient is φ = 10088448.

The previous prime is 30269951. The next prime is 30269957. The reversal of 30269952 is 25996203.

It can be written as a sum of positive squares in only one way, i.e., 19927296 + 10342656 = 4464^2 + 3216^2 .

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 (30269951) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1324 + ... + 7892.

Almost surely, 2^30269952 is an apocalyptic number.

30269952 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 30269952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43687215).

30269952 is an abundant number, since it is smaller than the sum of its proper divisors (57104478).

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

30269952 is an equidigital number, since it uses as much as digits as its factorization.

30269952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6593 (or 6574 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 30269952 is about 5501.8135191953. The cubic root of 30269952 is about 311.6524730049.

The spelling of 30269952 in words is "thirty million, two hundred sixty-nine thousand, nine hundred fifty-two".