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48729 = 337439
BaseRepresentation
bin1011111001011001
32110211210
423321121
53024404
61013333
7262032
oct137131
973753
1048729
113367a
1224249
1319245
1413a89
15e689
hexbe59

48729 has 8 divisors (see below), whose sum is σ = 66880. Its totient is φ = 31536.

The previous prime is 48679. The next prime is 48731. The reversal of 48729 is 92784.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 48729 - 28 = 48473 is a prime.

It is a Duffinian number.

It is a Curzon number.

48729 is a lucky number.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 48696 and 48705.

It is not an unprimeable number, because it can be changed into a prime (48779) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109 + ... + 330.

It is an arithmetic number, because the mean of its divisors is an integer number (8360).

248729 is an apocalyptic number.

It is an amenable number.

48729 is a deficient number, since it is larger than the sum of its proper divisors (18151).

48729 is a wasteful number, since it uses less digits than its factorization.

48729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479.

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

The square root of 48729 is about 220.7464609003. The cubic root of 48729 is about 36.5254716805.

It can be divided in two parts, 48 and 729, that added together give a palindrome (777).

The spelling of 48729 in words is "forty-eight thousand, seven hundred twenty-nine".

Divisors: 1 3 37 111 439 1317 16243 48729