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47973 = 315991
BaseRepresentation
bin1011101101100101
32102210210
423231211
53013343
61010033
7256602
oct135545
972723
1047973
1133052
1223919
1318ab3
14136a9
15e333
hexbb65

47973 has 4 divisors (see below), whose sum is σ = 63968. Its totient is φ = 31980.

The previous prime is 47969. The next prime is 47977. The reversal of 47973 is 37974.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (47969) and next prime (47977).

It is not a de Polignac number, because 47973 - 22 = 47969 is a prime.

It is an Ulam number.

It is a D-number.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 15 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 47973.

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 polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7993 + ... + 7998.

It is an arithmetic number, because the mean of its divisors is an integer number (15992).

247973 is an apocalyptic number.

It is an amenable number.

47973 is a deficient number, since it is larger than the sum of its proper divisors (15995).

47973 is a wasteful number, since it uses less digits than its factorization.

47973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15994.

The product of its digits is 5292, while the sum is 30.

The square root of 47973 is about 219.0273955468. The cubic root of 47973 is about 36.3355963764.

Subtracting from 47973 its reverse (37974), we obtain a palindrome (9999).

The spelling of 47973 in words is "forty-seven thousand, nine hundred seventy-three".

Divisors: 1 3 15991 47973