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248085 = 32537149
BaseRepresentation
bin111100100100010101
3110121022100
4330210111
530414320
65152313
72052165
oct744425
9417270
10248085
1115a432
12bb699
1388bc6
14665a5
154d790
hex3c915

248085 has 24 divisors (see below), whose sum is σ = 444600. Its totient is φ = 127872.

The previous prime is 248077. The next prime is 248089. The reversal of 248085 is 580842.

248085 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 4 ways, for example, as 26244 + 221841 = 162^2 + 471^2 .

It is not a de Polignac number, because 248085 - 23 = 248077 is a prime.

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 248085.

It is not an unprimeable number, because it can be changed into a prime (248089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1591 + ... + 1739.

It is an arithmetic number, because the mean of its divisors is an integer number (18525).

2248085 is an apocalyptic number.

It is an amenable number.

248085 is a deficient number, since it is larger than the sum of its proper divisors (196515).

248085 is a wasteful number, since it uses less digits than its factorization.

248085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 248085 is about 498.0813186619. The cubic root of 248085 is about 62.8347901138.

The spelling of 248085 in words is "two hundred forty-eight thousand, eighty-five".

Divisors: 1 3 5 9 15 37 45 111 149 185 333 447 555 745 1341 1665 2235 5513 6705 16539 27565 49617 82695 248085