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248148 = 223261113
BaseRepresentation
bin111100100101010100
3110121101200
4330211110
530420043
65152500
72052315
oct744524
9417350
10248148
1115a48a
12bb730
1388c44
146660c
154d7d3
hex3c954

248148 has 36 divisors (see below), whose sum is σ = 643188. Its totient is φ = 80640.

The previous prime is 248141. The next prime is 248161. The reversal of 248148 is 841842.

248148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6084 + 242064 = 78^2 + 492^2 .

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248141) by changing a digit.

248148 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, 2140 + ... + 2252.

2248148 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 248148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321594).

248148 is an abundant number, since it is smaller than the sum of its proper divisors (395040).

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

248148 is a wasteful number, since it uses less digits than its factorization.

248148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 179 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 248148 is about 498.1445573325. The cubic root of 248148 is about 62.8401085285.

The spelling of 248148 in words is "two hundred forty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 61 113 122 183 226 244 339 366 452 549 678 732 1017 1098 1356 2034 2196 4068 6893 13786 20679 27572 41358 62037 82716 124074 248148