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52425 = 3252233
BaseRepresentation
bin1100110011001001
32122220200
430303021
53134200
61042413
7305562
oct146311
978820
1052425
113642a
1226409
131ab29
1415169
1510800
hexccc9

52425 has 18 divisors (see below), whose sum is σ = 94302. Its totient is φ = 27840.

The previous prime is 52391. The next prime is 52433.

52425 is nontrivially palindromic in base 10.

52425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 441 + 51984 = 21^2 + 228^2 .

It is not a de Polignac number, because 52425 - 26 = 52361 is a prime.

It is a Curzon number.

52425 is a lucky number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 52398 and 52407.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 109 + ... + 341.

It is an arithmetic number, because the mean of its divisors is an integer number (5239).

252425 is an apocalyptic number.

It is an amenable number.

52425 is a deficient number, since it is larger than the sum of its proper divisors (41877).

52425 is a wasteful number, since it uses less digits than its factorization.

52425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 241 counting only the distinct ones).

The product of its digits is 400, while the sum is 18.

The square root of 52425 is about 228.9650628371. The cubic root of 52425 is about 37.4265227900.

Adding to 52425 its product of digits (400), we get a palindrome (52825).

Subtracting from 52425 its product of digits (400), we obtain a palindrome (52025).

The spelling of 52425 in words is "fifty-two thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 233 699 1165 2097 3495 5825 10485 17475 52425