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48704 = 26761
BaseRepresentation
bin1011111001000000
32110210212
423321000
53024304
61013252
7261665
oct137100
973725
1048704
1133657
1224228
1319226
1413a6c
15e66e
hexbe40

48704 has 14 divisors (see below), whose sum is σ = 96774. Its totient is φ = 24320.

The previous prime is 48679. The next prime is 48731. The reversal of 48704 is 40784.

48704 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 25600 + 23104 = 160^2 + 152^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 48704.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48704.

It is an unprimeable number.

48704 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 (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 317 + ... + 444.

248704 is an apocalyptic number.

It is an amenable number.

48704 is a deficient number, since it is larger than the sum of its proper divisors (48070).

48704 is an equidigital number, since it uses as much as digits as its factorization.

48704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 48704 is about 220.6898275861. The cubic root of 48704 is about 36.5192242509.

The spelling of 48704 in words is "forty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 64 761 1522 3044 6088 12176 24352 48704