Search a number
-
+
1809274368 = 29311176299
BaseRepresentation
bin110101111010111…
…0101011000000000
311200002110122211210
41223311311120000
512201133234433
6455311010120
762556402246
oct15365653000
94602418753
101809274368
11849319680
12425b09940
1322aab9565
1413240c796
15a8c8b463
hex6bd75600

1809274368 has 160 divisors (see below), whose sum is σ = 5568393600. Its totient is φ = 515932160.

The previous prime is 1809274367. The next prime is 1809274381. The reversal of 1809274368 is 8634729081.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1809274367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284083 + ... + 290381.

It is an arithmetic number, because the mean of its divisors is an integer number (34802460).

Almost surely, 21809274368 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 1809274368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784196800).

1809274368 is an abundant number, since it is smaller than the sum of its proper divisors (3759119232).

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

1809274368 is a wasteful number, since it uses less digits than its factorization.

1809274368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6348 (or 6332 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 1809274368 is about 42535.5659184170. The cubic root of 1809274368 is about 1218.5260278394.

The spelling of 1809274368 in words is "one billion, eight hundred nine million, two hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 256 264 272 352 374 384 408 512 528 544 561 704 748 768 816 1056 1088 1122 1408 1496 1536 1632 2112 2176 2244 2816 2992 3264 4224 4352 4488 5632 5984 6299 6528 8448 8704 8976 11968 12598 13056 16896 17952 18897 23936 25196 26112 35904 37794 47872 50392 69289 71808 75588 95744 100784 107083 138578 143616 151176 201568 207867 214166 277156 287232 302352 321249 403136 415734 428332 554312 604704 642498 806272 831468 856664 1108624 1177913 1209408 1284996 1612544 1662936 1713328 2217248 2355826 2418816 2569992 3225088 3325872 3426656 3533739 4434496 4711652 4837632 5139984 6651744 6853312 7067478 8868992 9423304 9675264 10279968 13303488 13706624 14134956 17737984 18846608 20559936 26606976 27413248 28269912 35475968 37693216 41119872 53213952 54826496 56539824 75386432 82239744 106427904 113079648 150772864 164479488 226159296 301545728 452318592 603091456 904637184 1809274368