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842909958 = 2321121920369
BaseRepresentation
bin110010001111011…
…100100100000110
32011202002021002100
4302033130210012
53211241104313
6215350252530
726613421302
oct6217344406
92152067070
10842909958
113a2889800
121b6357146
131058280b7
147dd38d02
154e001173
hex323dc906

842909958 has 72 divisors (see below), whose sum is σ = 2113183800. Its totient is φ = 241971840.

The previous prime is 842909927. The next prime is 842909959. The reversal of 842909958 is 859909248.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842909959) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31198 + ... + 51566.

It is an arithmetic number, because the mean of its divisors is an integer number (29349775).

Almost surely, 2842909958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842909958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056591900).

842909958 is an abundant number, since it is smaller than the sum of its proper divisors (1270273842).

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

842909958 is a wasteful number, since it uses less digits than its factorization.

842909958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20418 (or 20404 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 842909958 is about 29032.9116349015. The cubic root of 842909958 is about 944.6270872617.

The spelling of 842909958 in words is "eight hundred forty-two million, nine hundred nine thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 121 171 198 209 242 342 363 418 627 726 1089 1254 1881 2178 2299 3762 4598 6897 13794 20369 20691 40738 41382 61107 122214 183321 224059 366642 387011 448118 672177 774022 1161033 1344354 2016531 2322066 2464649 3483099 4033062 4257121 4929298 6966198 7393947 8514242 12771363 14787894 22181841 25542726 38314089 44363682 46828331 76628178 93656662 140484993 280969986 421454979 842909958