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3093728256 = 2103512433
BaseRepresentation
bin1011100001100110…
…1000110000000000
321222121101200100000
42320121220300000
522313443301011
61230553200000
7136444153623
oct27031506000
97877350300
103093728256
111348368913
12724100000
133a3c40448
14214c43dba
1513190a356
hexb8668c00

3093728256 has 132 divisors (see below), whose sum is σ = 9264672872. Its totient is φ = 1031159808.

The previous prime is 3093728251. The next prime is 3093728269. The reversal of 3093728256 is 6528273903.

It is not an unprimeable number, because it can be changed into a prime (3093728251) 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 11 ways as a sum of consecutive naturals, for example, 242616 + ... + 255048.

Almost surely, 23093728256 is an apocalyptic number.

3093728256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3093728256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4632336436).

3093728256 is an abundant number, since it is smaller than the sum of its proper divisors (6170944616).

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

3093728256 is an equidigital number, since it uses as much as digits as its factorization.

3093728256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12468 (or 12438 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3093728256 is about 55621.2931888499. The cubic root of 3093728256 is about 1457.1157570837.

The spelling of 3093728256 in words is "three billion, ninety-three million, seven hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2304 2592 3072 3456 3888 4608 5184 6912 7776 9216 10368 12433 13824 15552 20736 24866 27648 31104 37299 41472 49732 62208 74598 82944 99464 111897 124416 149196 198928 223794 248832 298392 335691 397856 447588 596784 671382 795712 895176 1007073 1193568 1342764 1591424 1790352 2014146 2387136 2685528 3021219 3182848 3580704 4028292 4774272 5371056 6042438 6365696 7161408 8056584 9548544 10742112 12084876 12731392 14322816 16113168 19097088 21484224 24169752 28645632 32226336 38194176 42968448 48339504 57291264 64452672 85936896 96679008 114582528 128905344 171873792 193358016 257810688 343747584 386716032 515621376 773432064 1031242752 1546864128 3093728256