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47975 = 5219101
BaseRepresentation
bin1011101101100111
32102210212
423231213
53013400
61010035
7256604
oct135547
972725
1047975
1133054
122391b
1318ab5
14136ab
15e335
hexbb67

47975 has 12 divisors (see below), whose sum is σ = 63240. Its totient is φ = 36000.

The previous prime is 47969. The next prime is 47977. The reversal of 47975 is 57974.

It is not a de Polignac number, because 47975 - 26 = 47911 is a prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47977) 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, 425 + ... + 525.

It is an arithmetic number, because the mean of its divisors is an integer number (5270).

247975 is an apocalyptic number.

47975 is a deficient number, since it is larger than the sum of its proper divisors (15265).

47975 is a wasteful number, since it uses less digits than its factorization.

47975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 125 counting only the distinct ones).

The product of its digits is 8820, while the sum is 32.

The square root of 47975 is about 219.0319611381. The cubic root of 47975 is about 36.3361013144.

Subtracting 47975 from its reverse (57974), we obtain a palindrome (9999).

The spelling of 47975 in words is "forty-seven thousand, nine hundred seventy-five".

Divisors: 1 5 19 25 95 101 475 505 1919 2525 9595 47975