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52575 = 352701
BaseRepresentation
bin1100110101011111
32200010020
430311133
53140300
61043223
7306165
oct146537
980106
1052575
1136556
1226513
131ac13
1415235
15108a0
hexcd5f

52575 has 12 divisors (see below), whose sum is σ = 87048. Its totient is φ = 28000.

The previous prime is 52571. The next prime is 52579. The reversal of 52575 is 57525.

It is an interprime number because it is at equal distance from previous prime (52571) and next prime (52579).

It is not a de Polignac number, because 52575 - 22 = 52571 is a prime.

52575 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52571) 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 11 ways as a sum of consecutive naturals, for example, 276 + ... + 425.

It is an arithmetic number, because the mean of its divisors is an integer number (7254).

252575 is an apocalyptic number.

52575 is a deficient number, since it is larger than the sum of its proper divisors (34473).

52575 is a wasteful number, since it uses less digits than its factorization.

52575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 709 counting only the distinct ones).

The product of its digits is 1750, while the sum is 24.

The square root of 52575 is about 229.2923897560. The cubic root of 52575 is about 37.4621841006.

Subtracting 52575 from its reverse (57525), we obtain a triangular number (4950 = T99).

The spelling of 52575 in words is "fifty-two thousand, five hundred seventy-five".

Divisors: 1 3 5 15 25 75 701 2103 3505 10515 17525 52575