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609116992 = 26114147449
BaseRepresentation
bin100100010011100…
…110001101000000
31120110011100102121
4210103212031000
52221413220432
6140235254024
721044260201
oct4423461500
91513140377
10609116992
11292915680
1214bbaa314
139926b573
145ac7b5a8
153871e197
hex244e6340

609116992 has 112 divisors (see below), whose sum is σ = 1382572800. Its totient is φ = 263782400.

The previous prime is 609116983. The next prime is 609116993. The reversal of 609116992 is 299611906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (609116993) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1356384 + ... + 1356832.

It is an arithmetic number, because the mean of its divisors is an integer number (12344400).

Almost surely, 2609116992 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 609116992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691286400).

609116992 is an abundant number, since it is smaller than the sum of its proper divisors (773455808).

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

609116992 is a wasteful number, since it uses less digits than its factorization.

609116992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 43.

The square root of 609116992 is about 24680.2956222165. The cubic root of 609116992 is about 847.6831912566.

The spelling of 609116992 in words is "six hundred nine million, one hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 41 44 47 64 82 88 94 164 176 188 328 352 376 449 451 517 656 704 752 898 902 1034 1312 1504 1796 1804 1927 2068 2624 3008 3592 3608 3854 4136 4939 7184 7216 7708 8272 9878 14368 14432 15416 16544 18409 19756 21103 21197 28736 28864 30832 33088 36818 39512 42206 42394 61664 73636 79024 84412 84788 123328 147272 158048 168824 169576 202499 232133 294544 316096 337648 339152 404998 464266 589088 675296 678304 809996 865223 928532 1178176 1350592 1356608 1619992 1730446 1857064 3239984 3460892 3714128 6479968 6921784 7428256 9517453 12959936 13843568 14856512 19034906 27687136 38069812 55374272 76139624 152279248 304558496 609116992