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84909084 = 2231317101317
BaseRepresentation
bin1010000111110…
…01110000011100
312220202211100220
411003321300130
5133214042314
612231521340
72050500231
oct503716034
9186684326
1084909084
1143a244a7
1224529250
131478b980
14b3c3788
1576c33a9
hex50f9c1c

84909084 has 96 divisors (see below), whose sum is σ = 228868416. Its totient is φ = 24268800.

The previous prime is 84909053. The next prime is 84909089. The reversal of 84909084 is 48090948.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84909089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267694 + ... + 268010.

It is an arithmetic number, because the mean of its divisors is an integer number (2384046).

Almost surely, 284909084 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 84909084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114434208).

84909084 is an abundant number, since it is smaller than the sum of its proper divisors (143959332).

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

84909084 is a wasteful number, since it uses less digits than its factorization.

84909084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 84909084 is about 9214.6125257658. The cubic root of 84909084 is about 439.5261496579.

The spelling of 84909084 in words is "eighty-four million, nine hundred nine thousand, eighty-four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 101 102 156 202 204 221 303 317 404 442 606 634 663 884 951 1212 1268 1313 1326 1717 1902 2626 2652 3434 3804 3939 4121 5151 5252 5389 6868 7878 8242 10302 10778 12363 15756 16167 16484 20604 21556 22321 24726 32017 32334 44642 49452 64034 64668 66963 70057 89284 96051 128068 133926 140114 192102 210171 267852 280228 384204 416221 420342 544289 832442 840684 1088578 1248663 1632867 1664884 2177156 2497326 3265734 4994652 6531468 7075757 14151514 21227271 28303028 42454542 84909084