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9250008352 = 251333765981
BaseRepresentation
bin10001001110101011…
…11110110100100000
3212212122112002222221
420213111332310200
5122421000231402
64125511440424
7445136526244
oct104725766440
925778462887
109250008352
113a17430202
121961986114
13b454c6730
1463a6d4424
15392113337
hex22757ed20

9250008352 has 48 divisors (see below), whose sum is σ = 19670289912. Its totient is φ = 4256501760.

The previous prime is 9250008349. The next prime is 9250008389. The reversal of 9250008352 is 2538000529.

9250008352 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 6749608336 + 2500400016 = 82156^2 + 50004^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107202 + ... + 173182.

Almost surely, 29250008352 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 9250008352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9835144956).

9250008352 is an abundant number, since it is smaller than the sum of its proper divisors (10420281560).

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

9250008352 is a wasteful number, since it uses less digits than its factorization.

9250008352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66341 (or 66333 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 9250008352 is about 96176.9637283274. The cubic root of 9250008352 is about 2099.1688586969.

The spelling of 9250008352 in words is "nine billion, two hundred fifty million, eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 337 416 674 1348 2696 4381 5392 8762 10784 17524 35048 65981 70096 131962 140192 263924 527848 857753 1055696 1715506 2111392 3431012 6862024 13724048 22235597 27448096 44471194 88942388 177884776 289062761 355769552 578125522 711539104 1156251044 2312502088 4625004176 9250008352