Search a number
-
+
9033785348 = 22723411632099
BaseRepresentation
bin10000110100111010…
…01010000000000100
3212022120122211210112
420122131022000010
5122000122112343
64052225212152
7436602623420
oct103235120004
925276584715
109033785348
113916377705
121901491058
13b0c77c223
14619acbb80
1537d152218
hex21a74a004

9033785348 has 96 divisors (see below), whose sum is σ = 19440691200. Its totient is φ = 3589090560.

The previous prime is 9033785347. The next prime is 9033785351. The reversal of 9033785348 is 8435873309.

It is a happy number.

It is a super-2 number, since 2×90337853482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9033785296 and 9033785305.

It is not an unprimeable number, because it can be changed into a prime (9033785347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4302803 + ... + 4304901.

It is an arithmetic number, because the mean of its divisors is an integer number (202507200).

Almost surely, 29033785348 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 9033785348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9720345600).

9033785348 is an abundant number, since it is smaller than the sum of its proper divisors (10406905852).

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

9033785348 is a wasteful number, since it uses less digits than its factorization.

9033785348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 50.

The square root of 9033785348 is about 95046.2274264476. The cubic root of 9033785348 is about 2082.6834008785.

The spelling of 9033785348 in words is "nine billion, thirty-three million, seven hundred eighty-five thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 23 28 41 46 82 92 161 163 164 287 322 326 574 644 652 943 1141 1148 1886 2099 2282 3749 3772 4198 4564 6601 6683 7498 8396 13202 13366 14693 14996 26243 26404 26732 29386 46781 48277 52486 58772 86059 93562 96554 104972 153709 172118 187124 193108 307418 337939 342137 344236 602413 614836 675878 684274 1075963 1204826 1351756 1368548 1979357 2151926 2394959 2409652 3958714 4303852 4789918 7869151 7917428 9579836 13855499 14027617 15738302 27710998 28055234 31476604 55084057 55421996 56110468 98193319 110168114 196386638 220336228 322635191 392773276 645270382 1290540764 2258446337 4516892674 9033785348