Search a number
-
+
48348 = 22321779
BaseRepresentation
bin1011110011011100
32110022200
423303130
53021343
61011500
7260646
oct136334
973280
1048348
1133363
1223b90
1319011
1413896
15e4d3
hexbcdc

48348 has 36 divisors (see below), whose sum is σ = 131040. Its totient is φ = 14976.

The previous prime is 48341. The next prime is 48353. The reversal of 48348 is 84384.

48348 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48341) by changing a digit.

48348 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 11 ways as a sum of consecutive naturals, for example, 573 + ... + 651.

It is an arithmetic number, because the mean of its divisors is an integer number (3640).

248348 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 48348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65520).

48348 is an abundant number, since it is smaller than the sum of its proper divisors (82692).

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

48348 is a wasteful number, since it uses less digits than its factorization.

48348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 101 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 48348 is about 219.8817864217. The cubic root of 48348 is about 36.4300279530.

The spelling of 48348 in words is "forty-eight thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 79 102 153 158 204 237 306 316 474 612 711 948 1343 1422 2686 2844 4029 5372 8058 12087 16116 24174 48348