30752 has 18 divisors (see below), whose sum is σ = 62559. Its totient is φ = 14880.
The previous prime is 30727. The next prime is 30757. The reversal of 30752 is 25703.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in only one way, i.e., 15376 + 15376 = 124^2 + 124^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=124.
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 30752.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 30752.
It is not an unprimeable number, because it can be changed into a prime (30757) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 977 + ... + 1007.
230752 is an apocalyptic number.
30752 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 30752
30752 is an abundant number, since it is smaller than the sum of its proper divisors (31807).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30752 is an equidigital number, since it uses as much as digits as its factorization.
30752 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 72 (or 33 counting only the distinct ones).
The product of its (nonzero) digits is 210, while the sum is 17.
The square root of 30752 is about 175.3624817343. The cubic root of 30752 is about 31.3298119880.
The spelling of 30752 in words is "thirty thousand, seven hundred fifty-two".
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