Search a number
-
+
992088216 = 233371673929
BaseRepresentation
bin111011001000100…
…001000010011000
32120010210022012000
4323020201002120
54012433310331
6242235521000
733404416320
oct7310410230
92503708160
10992088216
1146a00a619
122382b9160
1312a6c9c62
1495a8c280
155c16c0e6
hex3b221098

992088216 has 128 divisors (see below), whose sum is σ = 3169152000. Its totient is φ = 281684736.

The previous prime is 992088199. The next prime is 992088239. The reversal of 992088216 is 612880299.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 250540 + ... + 254468.

It is an arithmetic number, because the mean of its divisors is an integer number (24759000).

Almost surely, 2992088216 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 992088216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584576000).

992088216 is an abundant number, since it is smaller than the sum of its proper divisors (2177063784).

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

992088216 is a wasteful number, since it uses less digits than its factorization.

992088216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4118 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 992088216 is about 31497.4318953149. The cubic root of 992088216 is about 997.3557527862.

The spelling of 992088216 in words is "nine hundred ninety-two million, eighty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 167 168 189 216 252 334 378 501 504 668 756 1002 1169 1336 1503 1512 2004 2338 3006 3507 3929 4008 4509 4676 6012 7014 7858 9018 9352 10521 11787 12024 14028 15716 18036 21042 23574 27503 28056 31432 31563 35361 36072 42084 47148 55006 63126 70722 82509 84168 94296 106083 110012 126252 141444 165018 212166 220024 247527 252504 282888 330036 424332 495054 656143 660072 742581 848664 990108 1312286 1485162 1968429 1980216 2624572 2970324 3936858 4593001 5249144 5905287 5940648 7873716 9186002 11810574 13779003 15747432 17715861 18372004 23621148 27558006 35431722 36744008 41337009 47242296 55116012 70863444 82674018 110232024 124011027 141726888 165348036 248022054 330696072 496044108 992088216