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47106 = 2322617
BaseRepresentation
bin1011100000000010
32101121200
423200002
53001411
61002030
7254223
oct134002
971550
1047106
1132434
1223316
1318597
141324a
15de56
hexb802

47106 has 12 divisors (see below), whose sum is σ = 102102. Its totient is φ = 15696.

The previous prime is 47093. The next prime is 47111. The reversal of 47106 is 60174.

It can be written as a sum of positive squares in only one way, i.e., 27225 + 19881 = 165^2 + 141^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 2617 = 47106 / (4 + 7 + 1 + 0 + 6).

It is an unprimeable number.

47106 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1291 + ... + 1326.

247106 is an apocalyptic number.

47106 is an abundant number, since it is smaller than the sum of its proper divisors (54996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47106 is a wasteful number, since it uses less digits than its factorization.

47106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 47106 is about 217.0391669722. The cubic root of 47106 is about 36.1153706130.

Adding to 47106 its product of nonzero digits (168), we get a palindrome (47274).

It can be divided in two parts, 47 and 106, that added together give a triangular number (153 = T17).

The spelling of 47106 in words is "forty-seven thousand, one hundred six".

Divisors: 1 2 3 6 9 18 2617 5234 7851 15702 23553 47106