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248132 = 22174189
BaseRepresentation
bin111100100101000100
3110121101002
4330211010
530420012
65152432
72052263
oct744504
9417332
10248132
1115a475
12bb718
1388c31
14665da
154d7c2
hex3c944

248132 has 24 divisors (see below), whose sum is σ = 476280. Its totient is φ = 112640.

The previous prime is 248119. The next prime is 248137. The reversal of 248132 is 231842.

It can be written as a sum of positive squares in 4 ways, for example, as 2116 + 246016 = 46^2 + 496^2 .

It is not an unprimeable number, because it can be changed into a prime (248137) by changing a digit.

248132 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 7 ways as a sum of consecutive naturals, for example, 2744 + ... + 2832.

It is an arithmetic number, because the mean of its divisors is an integer number (19845).

2248132 is an apocalyptic number.

It is an amenable number.

248132 is a deficient number, since it is larger than the sum of its proper divisors (228148).

248132 is a wasteful number, since it uses less digits than its factorization.

248132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 149 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 248132 is about 498.1284974783. The cubic root of 248132 is about 62.8387579053.

Adding to 248132 its reverse (231842), we get a palindrome (479974).

Subtracting from 248132 its reverse (231842), we obtain a triangular number (16290 = T180).

The spelling of 248132 in words is "two hundred forty-eight thousand, one hundred thirty-two".

Divisors: 1 2 4 17 34 41 68 82 89 164 178 356 697 1394 1513 2788 3026 3649 6052 7298 14596 62033 124066 248132