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1033242028 = 22721331103127
BaseRepresentation
bin111101100101100…
…000010110101100
32200000020010121021
4331211200112230
54104002221103
6250305543524
734414261300
oct7545402654
92600203537
101033242028
11490269035
1224a044ba4
131360a8a20
149b321d00
1560a9abbd
hex3d9605ac

1033242028 has 144 divisors (see below), whose sum is σ = 2379546624. Its totient is φ = 388644480.

The previous prime is 1033242013. The next prime is 1033242047. The reversal of 1033242028 is 8202423301.

1033242028 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 = 1033241993 and 1033242011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8135701 + ... + 8135827.

Almost surely, 21033242028 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 1033242028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189773312).

1033242028 is an abundant number, since it is smaller than the sum of its proper divisors (1346304596).

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

1033242028 is a wasteful number, since it uses less digits than its factorization.

1033242028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 1033242028 is about 32144.0823169678. The cubic root of 1033242028 is about 1010.9601130638.

Adding to 1033242028 its reverse (8202423301), we get a palindrome (9235665329).

The spelling of 1033242028 in words is "one billion, thirty-three million, two hundred forty-two thousand, twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 31 49 52 62 91 98 103 124 127 182 196 206 217 254 364 403 412 434 508 637 721 806 868 889 1274 1339 1442 1519 1612 1651 1778 2548 2678 2821 2884 3038 3193 3302 3556 3937 5047 5356 5642 6076 6223 6386 6604 7874 9373 10094 11284 11557 12446 12772 13081 15748 18746 19747 20188 22351 23114 24892 26162 27559 37492 39494 41509 44702 46228 51181 52324 55118 65611 78988 80899 83018 89404 91567 102362 110236 131222 156457 161798 166036 170053 183134 192913 204724 262444 290563 312914 323596 340106 358267 366268 385826 405511 581126 625828 640969 680212 716534 771652 811022 1162252 1190371 1281938 1433068 1622044 2033941 2380742 2507869 2563876 2838577 4067882 4761484 5015738 5271643 5677154 8135764 8332597 10031476 10543286 11354308 16665194 19870039 21086572 33330388 36901501 39740078 73803002 79480156 147606004 258310507 516621014 1033242028