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850238496 = 25326148397
BaseRepresentation
bin110010101011011…
…001110000100000
32012020212120221200
4302223121300200
53220130112441
6220211321200
730032623302
oct6253316040
92166776850
10850238496
113a6a34848
121b88b0200
131071c2a03
1480cc5972
154e99c7b6
hex32ad9c20

850238496 has 72 divisors (see below), whose sum is σ = 2457553644. Its totient is φ = 278760960.

The previous prime is 850238489. The next prime is 850238513. The reversal of 850238496 is 694832058.

It can be written as a sum of positive squares in 2 ways, for example, as 832899600 + 17338896 = 28860^2 + 4164^2 .

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

It is an unprimeable number.

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, 6631 + ... + 41766.

Almost surely, 2850238496 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 850238496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228776822).

850238496 is an abundant number, since it is smaller than the sum of its proper divisors (1607315148).

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

850238496 is a wasteful number, since it uses less digits than its factorization.

850238496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48474 (or 48463 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 850238496 is about 29158.8493600142. The cubic root of 850238496 is about 947.3568248561.

The spelling of 850238496 in words is "eight hundred fifty million, two hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1464 1952 2196 2928 4392 5856 8784 17568 48397 96794 145191 193588 290382 387176 435573 580764 774352 871146 1161528 1548704 1742292 2323056 2952217 3484584 4646112 5904434 6969168 8856651 11808868 13938336 17713302 23617736 26569953 35426604 47235472 53139906 70853208 94470944 106279812 141706416 212559624 283412832 425119248 850238496