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30825 = 3252137
BaseRepresentation
bin111100001101001
31120021200
413201221
51441300
6354413
7155604
oct74151
946250
1030825
1121183
1215a09
1311052
14b33b
159200
hex7869

30825 has 18 divisors (see below), whose sum is σ = 55614. Its totient is φ = 16320.

The previous prime is 30817. The next prime is 30829. The reversal of 30825 is 52803.

30825 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 3 ways, for example, as 2601 + 28224 = 51^2 + 168^2 .

It is not a de Polignac number, because 30825 - 23 = 30817 is a prime.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 30798 and 30807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30829) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 157 + ... + 293.

230825 is an apocalyptic number.

It is an amenable number.

30825 is a deficient number, since it is larger than the sum of its proper divisors (24789).

30825 is a wasteful number, since it uses less digits than its factorization.

30825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 30825 is about 175.5704986608. The cubic root of 30825 is about 31.3545829400.

It can be divided in two parts, 308 and 25, that added together give a palindrome (333).

The spelling of 30825 in words is "thirty thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 137 225 411 685 1233 2055 3425 6165 10275 30825