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84489405 = 357111317331
BaseRepresentation
bin1010000100100…
…11010010111101
312212222111200020
411002103102331
5133112130110
612214522353
72044101540
oct502232275
9185874606
1084489405
1143768160
12243663b9
1314672940
14b314857
15763dd70
hex50934bd

84489405 has 128 divisors (see below), whose sum is σ = 192761856. Its totient is φ = 30412800.

The previous prime is 84489347. The next prime is 84489437. The reversal of 84489405 is 50498448.

84489405 = T384 + T385 + ... + T825.

It is not a de Polignac number, because 84489405 - 27 = 84489277 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 255090 + ... + 255420.

It is an arithmetic number, because the mean of its divisors is an integer number (1505952).

Almost surely, 284489405 is an apocalyptic number.

84489405 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

84489405 is an abundant number, since it is smaller than the sum of its proper divisors (108272451).

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

84489405 is a wasteful number, since it uses less digits than its factorization.

84489405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387.

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 84489405 is about 9191.8118453328. The cubic root of 84489405 is about 438.8008066098.

The spelling of 84489405 in words is "eighty-four million, four hundred eighty-nine thousand, four hundred five".

Divisors: 1 3 5 7 11 13 15 17 21 33 35 39 51 55 65 77 85 91 105 119 143 165 187 195 221 231 255 273 331 357 385 429 455 561 595 663 715 935 993 1001 1105 1155 1309 1365 1547 1655 1785 2145 2317 2431 2805 3003 3315 3641 3927 4303 4641 4965 5005 5627 6545 6951 7293 7735 10923 11585 12155 12909 15015 16881 17017 18205 19635 21515 23205 25487 28135 30121 34755 36465 39389 47333 51051 54615 61897 64545 73151 76461 84405 85085 90363 118167 127435 141999 150605 185691 196945 219453 236665 255255 309485 331331 365755 382305 433279 451815 512057 590835 709995 804661 928455 993993 1097265 1299837 1536171 1656655 2166395 2413983 2560285 4023305 4969965 5632627 6499185 7680855 12069915 16897881 28163135 84489405