Search a number
-
+
903828816 = 2432113131823
BaseRepresentation
bin110101110111110…
…101010101010000
32022222201021001100
4311313311111100
53322340010231
6225404104400
731253263302
oct6567652520
92288637040
10903828816
11424207a70
12212835100
13115337367
1488075972
15545361e6
hex35df5550

903828816 has 120 divisors (see below), whose sum is σ = 2769751296. Its totient is φ = 272862720.

The previous prime is 903828799. The next prime is 903828823. The reversal of 903828816 is 618828309.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 494881 + ... + 496703.

Almost surely, 2903828816 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 903828816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384875648).

903828816 is an abundant number, since it is smaller than the sum of its proper divisors (1865922480).

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

903828816 is a wasteful number, since it uses less digits than its factorization.

903828816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 903828816 is about 30063.7458743916. The cubic root of 903828816 is about 966.8565888162.

The spelling of 903828816 in words is "nine hundred three million, eight hundred twenty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 313 396 528 626 792 939 1252 1584 1823 1878 2504 2817 3443 3646 3756 5008 5469 5634 6886 7292 7512 10329 10938 11268 13772 14584 15024 16407 20053 20658 21876 22536 27544 29168 30987 32814 40106 41316 43752 45072 55088 60159 61974 65628 80212 82632 87504 120318 123948 131256 160424 165264 180477 240636 247896 262512 320848 360954 481272 495792 570599 721908 962544 1141198 1443816 1711797 2282396 2887632 3423594 4564792 5135391 6276589 6847188 9129584 10270782 12553178 13694376 18829767 20541564 25106356 27388752 37659534 41083128 50212712 56489301 75319068 82166256 100425424 112978602 150638136 225957204 301276272 451914408 903828816