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47205 = 3251049
BaseRepresentation
bin1011100001100101
32101202100
423201211
53002310
61002313
7254424
oct134145
971670
1047205
1132514
1223399
1318642
14132bb
15dec0
hexb865

47205 has 12 divisors (see below), whose sum is σ = 81900. Its totient is φ = 25152.

The previous prime is 47189. The next prime is 47207. The reversal of 47205 is 50274.

It is a happy number.

47205 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 2 ways, for example, as 31329 + 15876 = 177^2 + 126^2 .

It is not a de Polignac number, because 47205 - 24 = 47189 is a prime.

It is a plaindrome in base 12.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 480 + ... + 569.

It is an arithmetic number, because the mean of its divisors is an integer number (6825).

247205 is an apocalyptic number.

47205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47205 is a deficient number, since it is larger than the sum of its proper divisors (34695).

47205 is a wasteful number, since it uses less digits than its factorization.

47205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 47205 is about 217.2671167020. The cubic root of 47205 is about 36.1406534493.

Adding to 47205 its reverse (50274), we get a palindrome (97479).

It can be divided in two parts, 47 and 205, that added together give a palindrome (252).

The spelling of 47205 in words is "forty-seven thousand, two hundred five".

Divisors: 1 3 5 9 15 45 1049 3147 5245 9441 15735 47205