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249093 = 32132129
BaseRepresentation
bin111100110100000101
3110122200200
4330310011
530432333
65201113
72055135
oct746405
9418620
10249093
11160169
12100199
13894c0
1466ac5
154dc13
hex3cd05

249093 has 12 divisors (see below), whose sum is σ = 387660. Its totient is φ = 153216.

The previous prime is 249089. The next prime is 249097. The reversal of 249093 is 390942.

249093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (249089) and next prime (249097).

It can be written as a sum of positive squares in 2 ways, for example, as 49284 + 199809 = 222^2 + 447^2 .

It is not a de Polignac number, because 249093 - 22 = 249089 is a prime.

249093 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 948 + ... + 1181.

It is an arithmetic number, because the mean of its divisors is an integer number (32305).

2249093 is an apocalyptic number.

It is an amenable number.

249093 is a deficient number, since it is larger than the sum of its proper divisors (138567).

249093 is a wasteful number, since it uses less digits than its factorization.

249093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 249093 is about 499.0921758553. The cubic root of 249093 is about 62.9197769515.

The spelling of 249093 in words is "two hundred forty-nine thousand, ninety-three".

Divisors: 1 3 9 13 39 117 2129 6387 19161 27677 83031 249093