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249020712 = 23325365257
BaseRepresentation
bin11101101011111…
…00000100101000
3122100120120012100
432311330010220
51002222130322
640413213400
76112432623
oct1665740450
9570516170
10249020712
11118624a46
126b491260
133c78ba45
1425102dba
1516cdddac
hexed7c128

249020712 has 48 divisors (see below), whose sum is σ = 687166740. Its totient is φ = 81439488.

The previous prime is 249020687. The next prime is 249020729. The reversal of 249020712 is 217020942.

249020712 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 2 ways, for example, as 246929796 + 2090916 = 15714^2 + 1446^2 .

It is a super-2 number, since 2×2490207122 = 124022630009973888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28813 + ... + 36444.

Almost surely, 2249020712 is an apocalyptic number.

It is an amenable number.

249020712 is an abundant number, since it is smaller than the sum of its proper divisors (438146028).

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

249020712 is a wasteful number, since it uses less digits than its factorization.

249020712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65322 (or 65315 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 249020712 is about 15780.3901092463. The cubic root of 249020712 is about 629.1368982090.

The spelling of 249020712 in words is "two hundred forty-nine million, twenty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 65257 130514 195771 261028 391542 522056 587313 783084 1174626 1566168 2349252 3458621 4698504 6917242 10375863 13834484 20751726 27668968 31127589 41503452 62255178 83006904 124510356 249020712