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35625 = 35419
BaseRepresentation
bin1000101100101001
31210212110
420230221
52120000
6432533
7205602
oct105451
953773
1035625
1124847
1218749
13132a5
14cda9
15a850
hex8b29

35625 has 20 divisors (see below), whose sum is σ = 62480. Its totient is φ = 18000.

The previous prime is 35617. The next prime is 35671. The reversal of 35625 is 52653.

It is not a de Polignac number, because 35625 - 23 = 35617 is a prime.

It is a d-powerful number, because it can be written as 39 + 52 + 62 + 28 + 56 .

35625 is a lucky number.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1866 + ... + 1884.

It is an arithmetic number, because the mean of its divisors is an integer number (3124).

235625 is an apocalyptic number.

It is an amenable number.

35625 is a deficient number, since it is larger than the sum of its proper divisors (26855).

35625 is an equidigital number, since it uses as much as digits as its factorization.

35625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 27 counting only the distinct ones).

The product of its digits is 900, while the sum is 21.

The square root of 35625 is about 188.7458608818. The cubic root of 35625 is about 32.9042218262.

The spelling of 35625 in words is "thirty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 15 19 25 57 75 95 125 285 375 475 625 1425 1875 2375 7125 11875 35625