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249688116 = 223321110957
BaseRepresentation
bin11101110000111…
…11000000110100
3122101211110201000
432320133000310
51002410004431
640435403300
76121212456
oct1670370064
9571743630
10249688116
11118a40417
126b753530
133c963762
14252382d6
1516dc19e6
hexee1f034

249688116 has 48 divisors (see below), whose sum is σ = 650466880. Its totient is φ = 82827360.

The previous prime is 249688079. The next prime is 249688121. The reversal of 249688116 is 611886942.

249688116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17310 + ... + 28266.

Almost surely, 2249688116 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 249688116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325233440).

249688116 is an abundant number, since it is smaller than the sum of its proper divisors (400778764).

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

249688116 is a wasteful number, since it uses less digits than its factorization.

249688116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11181 (or 11173 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 249688116 is about 15801.5225848650. The cubic root of 249688116 is about 629.6984497900.

The spelling of 249688116 in words is "two hundred forty-nine million, six hundred eighty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 211 422 633 844 1266 1899 2532 3798 5697 7596 10957 11394 21914 22788 32871 43828 65742 98613 131484 197226 295839 394452 591678 1183356 2311927 4623854 6935781 9247708 13871562 20807343 27743124 41614686 62422029 83229372 124844058 249688116