30007952 has 40 divisors (see below), whose sum is σ = 63355320. Its totient is φ = 13685760.

The previous prime is 30007951. The next prime is 30007961. The reversal of 30007952 is 25970003.

It can be written as a sum of positive squares in 4 ways, for example, as 891136 + 29116816 = 944^2 + 5396^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (30007951) 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 7 ways as a sum of consecutive naturals, for example, 17702 + ... + 19322.

It is an arithmetic number, because the mean of its divisors is an integer number (1583883).

Almost surely, 2^30007952 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 30007952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31677660).

30007952 is an abundant number, since it is smaller than the sum of its proper divisors (33347368).

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

30007952 is a wasteful number, since it uses less digits than its factorization.

30007952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 30007952 is about 5477.9514419170. The cubic root of 30007952 is about 310.7507022954.

Adding to 30007952 its reverse (25970003), we get a palindrome (55977955).

The spelling of 30007952 in words is "thirty million, seven thousand, nine hundred fifty-two".