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30848 = 27241
BaseRepresentation
bin111100010000000
31120022112
413202000
51441343
6354452
7155636
oct74200
946275
1030848
11211a4
1215a28
131106c
14b356
159218
hex7880

30848 has 16 divisors (see below), whose sum is σ = 61710. Its totient is φ = 15360.

The previous prime is 30841. The next prime is 30851. The reversal of 30848 is 84803.

It can be divided in two parts, 30 and 848, that added together give a palindrome (878).

It can be written as a sum of positive squares in only one way, i.e., 23104 + 7744 = 152^2 + 88^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 30848.

It is not an unprimeable number, because it can be changed into a prime (30841) by changing a digit.

30848 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 8 + ... + 248.

230848 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 30848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30855).

30848 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

30848 is an equidigital number, since it uses as much as digits as its factorization.

30848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 30848 is about 175.6359872008. The cubic root of 30848 is about 31.3623793835.

The spelling of 30848 in words is "thirty thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 241 482 964 1928 3856 7712 15424 30848