Search a number
48744 = 2332677
BaseRepresentation
bin1011111001101000
32110212100
423321220
53024434
61013400
7262053
oct137150
973770
1048744
1133693
1224260
1319257
1413a9a
15e699
hexbe68

48744 has 24 divisors (see below), whose sum is σ = 132210. Its totient is φ = 16224.

The previous prime is 48733. The next prime is 48751. The reversal of 48744 is 44784.

Added to its reverse (44784) it gives a triangular number (93528 = T432).

It can be written as a sum of positive squares in only one way, i.e., 26244 + 22500 = 162^2 + 150^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

48744 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 5 ways as a sum of consecutive naturals, for example, 267 + ... + 410.

248744 is an apocalyptic number.

It is an amenable number.

48744 is an abundant number, since it is smaller than the sum of its proper divisors (83466).

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

48744 is a wasteful number, since it uses less digits than its factorization.

48744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 682 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 48744 is about 220.7804339157. The cubic root of 48744 is about 36.5292191127.

Adding to 48744 its reverse (44784), we get a triangular number (93528 = T432).

The spelling of 48744 in words is "forty-eight thousand, seven hundred forty-four".