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250242336 = 25323172741
BaseRepresentation
bin11101110101001…
…10010100100000
3122102212121221200
432322212110200
51003030223321
640455321200
76126011331
oct1672462440
9572777850
10250242336
11119289853
126b980200
133cac8ab6
1425340288
1516e80d26
hexeea6520

250242336 has 72 divisors (see below), whose sum is σ = 714131964. Its totient is φ = 83120640.

The previous prime is 250242299. The next prime is 250242337. The reversal of 250242336 is 633242052.

It can be written as a sum of positive squares in 2 ways, for example, as 216090000 + 34152336 = 14700^2 + 5844^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (250242337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89926 + ... + 92666.

Almost surely, 2250242336 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 250242336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357065982).

250242336 is an abundant number, since it is smaller than the sum of its proper divisors (463889628).

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

250242336 is a wasteful number, since it uses less digits than its factorization.

250242336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 250242336 is about 15819.0497818295. The cubic root of 250242336 is about 630.1640086980.

Adding to 250242336 its reverse (633242052), we get a palindrome (883484388).

The spelling of 250242336 in words is "two hundred fifty million, two hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 317 634 951 1268 1902 2536 2741 2853 3804 5072 5482 5706 7608 8223 10144 10964 11412 15216 16446 21928 22824 24669 30432 32892 43856 45648 49338 65784 87712 91296 98676 131568 197352 263136 394704 789408 868897 1737794 2606691 3475588 5213382 6951176 7820073 10426764 13902352 15640146 20853528 27804704 31280292 41707056 62560584 83414112 125121168 250242336