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928990116 = 223273834259
BaseRepresentation
bin110111010111110…
…100001110100100
32101202001120212100
4313113310032210
53400310140431
6232103252100
732010166665
oct6727641644
92352046770
10928990116
1143743302a
1221b14a030
1311a606ac2
148b54536c
15568564e6
hex375f43a4

928990116 has 72 divisors (see below), whose sum is σ = 2409694560. Its totient is φ = 301670784.

The previous prime is 928990091. The next prime is 928990121. The reversal of 928990116 is 611099829.

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, 215995 + ... + 220253.

It is an arithmetic number, because the mean of its divisors is an integer number (33467980).

Almost surely, 2928990116 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 928990116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204847280).

928990116 is an abundant number, since it is smaller than the sum of its proper divisors (1480704444).

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

928990116 is a wasteful number, since it uses less digits than its factorization.

928990116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4425 (or 4420 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 928990116 is about 30479.3391660646. The cubic root of 928990116 is about 975.7465650870.

The spelling of 928990116 in words is "nine hundred twenty-eight million, nine hundred ninety thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 73 83 146 166 219 249 292 332 438 498 657 747 876 996 1314 1494 2628 2988 4259 6059 8518 12118 12777 17036 18177 24236 25554 36354 38331 51108 54531 72708 76662 109062 153324 218124 310907 353497 621814 706994 932721 1060491 1243628 1413988 1865442 2120982 2798163 3181473 3730884 4241964 5596326 6362946 11192652 12725892 25805281 51610562 77415843 103221124 154831686 232247529 309663372 464495058 928990116