Search a number
-
+
3805683056 = 247241277509
BaseRepresentation
bin1110001011010110…
…0001110101110000
3100211020001201201022
43202311201311300
530243223324211
61425344555012
7163210525610
oct34265416560
910736051638
103805683056
11168323300a
128a2622a68
134885a7086
14281610a40
1517418ebdb
hexe2d61d70

3805683056 has 80 divisors (see below), whose sum is σ = 8509068480. Its totient is φ = 1615196160.

The previous prime is 3805683041. The next prime is 3805683059. The reversal of 3805683056 is 6503865083.

3805683056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3805682998 and 3805683016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3805683059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7476530 + ... + 7477038.

It is an arithmetic number, because the mean of its divisors is an integer number (106363356).

Almost surely, 23805683056 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 3805683056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254534240).

3805683056 is an abundant number, since it is smaller than the sum of its proper divisors (4703385424).

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

3805683056 is a wasteful number, since it uses less digits than its factorization.

3805683056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The square root of 3805683056 is about 61690.2184791074. The cubic root of 3805683056 is about 1561.2682892163.

The spelling of 3805683056 in words is "three billion, eight hundred five million, six hundred eighty-three thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 241 277 482 509 554 964 1018 1108 1687 1928 1939 2036 2216 3374 3563 3856 3878 4072 4432 6748 7126 7756 8144 13496 14252 15512 26992 28504 31024 57008 66757 122669 133514 140993 245338 267028 281986 467299 490676 534056 563972 858683 934598 981352 986951 1068112 1127944 1717366 1869196 1962704 1973902 2255888 3434732 3738392 3947804 6869464 7476784 7895608 13738928 15791216 33979313 67958626 135917252 237855191 271834504 475710382 543669008 951420764 1902841528 3805683056