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47928 = 2331997
BaseRepresentation
bin1011101100111000
32102202010
423230320
53013203
61005520
7256506
oct135470
972663
1047928
1133011
12238a0
1318a7a
1413676
15e303
hexbb38

47928 has 16 divisors (see below), whose sum is σ = 119880. Its totient is φ = 15968.

The previous prime is 47917. The next prime is 47933. The reversal of 47928 is 82974.

It is a d-powerful number, because it can be written as 43 + 73 + 94 + 213 + 85 .

It is a junction number, because it is equal to n+sod(n) for n = 47895 and 47904.

It is a congruent number.

It is an unprimeable number.

47928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 975 + ... + 1022.

247928 is an apocalyptic number.

It is an amenable number.

47928 is an abundant number, since it is smaller than the sum of its proper divisors (71952).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59940).

47928 is a wasteful number, since it uses less digits than its factorization.

47928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 2002 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 47928 is about 218.9246445698. The cubic root of 47928 is about 36.3242315575.

The spelling of 47928 in words is "forty-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 1997 3994 5991 7988 11982 15976 23964 47928