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250141264 = 24178910333
BaseRepresentation
bin11101110100011…
…01101001010000
3122102200111022021
432322031221100
51003014010024
640453221224
76125110552
oct1672155120
9572614267
10250141264
1111921a91a
126b931814
133ca91aa9
14253154d2
1516e60de4
hexee8da50

250141264 has 40 divisors (see below), whose sum is σ = 518973480. Its totient is φ = 116379648.

The previous prime is 250141253. The next prime is 250141273. The reversal of 250141264 is 462141052.

It is a happy number.

250141264 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 57153600 + 192987664 = 7560^2 + 13892^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19042 + ... + 29374.

It is an arithmetic number, because the mean of its divisors is an integer number (12974337).

Almost surely, 2250141264 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 250141264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259486740).

250141264 is an abundant number, since it is smaller than the sum of its proper divisors (268832216).

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

250141264 is a wasteful number, since it uses less digits than its factorization.

250141264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10447 (or 10441 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 250141264 is about 15815.8548298851. The cubic root of 250141264 is about 630.0791569305.

The spelling of 250141264 in words is "two hundred fifty million, one hundred forty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 68 89 136 178 272 356 712 1424 1513 3026 6052 10333 12104 20666 24208 41332 82664 165328 175661 351322 702644 919637 1405288 1839274 2810576 3678548 7357096 14714192 15633829 31267658 62535316 125070632 250141264