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48096 = 2532167
BaseRepresentation
bin1011101111100000
32102222100
423233200
53014341
61010400
7260136
oct135740
972870
1048096
1133154
1223a00
1318b79
1413756
15e3b6
hexbbe0

48096 has 36 divisors (see below), whose sum is σ = 137592. Its totient is φ = 15936.

The previous prime is 48091. The next prime is 48109. The reversal of 48096 is 69084.

It can be divided in two parts, 480 and 96, that added together give a square (576 = 242).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×480963 = 333770639966208, which contains 333 as substring.

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 48096.

It is not an unprimeable number, because it can be changed into a prime (48091) by changing a digit.

48096 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, 205 + ... + 371.

It is an arithmetic number, because the mean of its divisors is an integer number (3822).

248096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68796).

48096 is an abundant number, since it is smaller than the sum of its proper divisors (89496).

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

48096 is a wasteful number, since it uses less digits than its factorization.

48096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 48096 is about 219.3080025900. The cubic root of 48096 is about 36.3666239970.

The spelling of 48096 in words is "forty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 167 288 334 501 668 1002 1336 1503 2004 2672 3006 4008 5344 6012 8016 12024 16032 24048 48096