Search a number
-
+
6809924304 = 24322912772
BaseRepresentation
bin1100101011110011…
…10011001011010000
3122120121001222221200
412111321303023100
5102421320034204
63043424151200
7330520254501
oct62571631320
918517058850
106809924304
11298502aa17
1213a0768500
13846b14c11
144885dcba8
1529ccc0539
hex195e732d0

6809924304 has 90 divisors (see below), whose sum is σ = 19730964630. Its totient is φ = 2189983488.

The previous prime is 6809924299. The next prime is 6809924327. The reversal of 6809924304 is 4034299086.

It can be written as a sum of positive squares in 3 ways, for example, as 1949045904 + 4860878400 = 44148^2 + 69720^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6809924304.

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 17 ways as a sum of consecutive naturals, for example, 5332114 + ... + 5333390.

Almost surely, 26809924304 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 6809924304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9865482315).

6809924304 is an abundant number, since it is smaller than the sum of its proper divisors (12921040326).

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

6809924304 is a wasteful number, since it uses less digits than its factorization.

6809924304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2597 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 6809924304 is about 82522.2655045291. The cubic root of 6809924304 is about 1895.4576908640.

The spelling of 6809924304 in words is "six billion, eight hundred nine million, nine hundred twenty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1277 1392 2088 2554 3831 4176 5108 7662 10216 11493 15324 20432 22986 30648 37033 45972 61296 74066 91944 111099 148132 183888 222198 296264 333297 444396 592528 666594 888792 1333188 1630729 1777584 2666376 3261458 4892187 5332752 6522916 9784374 13045832 14676561 19568748 26091664 29353122 39137496 47291141 58706244 78274992 94582282 117412488 141873423 189164564 234824976 283746846 378329128 425620269 567493692 756658256 851240538 1134987384 1702481076 2269974768 3404962152 6809924304