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248382 = 23213799
BaseRepresentation
bin111100101000111110
3110121201100
4330220332
530422012
65153530
72053101
oct745076
9417640
10248382
1115a682
12bb8a6
1389094
1466738
154d8dc
hex3ca3e

248382 has 12 divisors (see below), whose sum is σ = 538200. Its totient is φ = 82788.

The previous prime is 248371. The next prime is 248389. The reversal of 248382 is 283842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248389) by changing a digit.

248382 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6882 + ... + 6917.

It is an arithmetic number, because the mean of its divisors is an integer number (44850).

2248382 is an apocalyptic number.

248382 is an abundant number, since it is smaller than the sum of its proper divisors (289818).

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

248382 is a wasteful number, since it uses less digits than its factorization.

248382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13807 (or 13804 counting only the distinct ones).

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

The square root of 248382 is about 498.3793735700. The cubic root of 248382 is about 62.8598547630.

It can be divided in two parts, 248 and 382, that added together give a triangular number (630 = T35).

The spelling of 248382 in words is "two hundred forty-eight thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 13799 27598 41397 82794 124191 248382