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2854022985 = 3351117131863
BaseRepresentation
bin1010101000011100…
…1110111101001001
321100220100101112000
42222013032331021
521321112213420
61151111341213
7130503536502
oct25207167511
97326311460
102854022985
111235026790
12677981809
133663937c8
141d1087ba9
1511a85b690
hexaa1cef49

2854022985 has 128 divisors (see below), whose sum is σ = 5912248320. Its totient is φ = 1290931200.

The previous prime is 2854022981. The next prime is 2854022987. The reversal of 2854022985 is 5892204582.

2854022985 is a `hidden beast` number, since 2 + 8 + 540 + 2 + 29 + 85 = 666.

It is not a de Polignac number, because 2854022985 - 22 = 2854022981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2854022985.

It is not an unprimeable number, because it can be changed into a prime (2854022981) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 3306664 + ... + 3307526.

It is an arithmetic number, because the mean of its divisors is an integer number (46189440).

Almost surely, 22854022985 is an apocalyptic number.

It is an amenable number.

2854022985 is an abundant number, since it is smaller than the sum of its proper divisors (3058225335).

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

2854022985 is a wasteful number, since it uses less digits than its factorization.

2854022985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 2854022985 is about 53423.0566796772. The cubic root of 2854022985 is about 1418.4667350666.

The spelling of 2854022985 in words is "two billion, eight hundred fifty-four million, twenty-two thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 11 15 17 27 33 45 51 55 85 99 131 135 153 165 187 255 297 393 459 495 561 655 765 863 935 1179 1441 1485 1683 1965 2227 2295 2589 2805 3537 4315 4323 5049 5895 6681 7205 7767 8415 9493 11135 12945 12969 14671 17685 20043 21615 23301 24497 25245 28479 33405 38835 38907 44013 47465 60129 64845 73355 73491 85437 100215 113053 116505 122485 132039 142395 161381 194535 220065 220473 256311 300645 339159 367455 396117 427185 484143 565265 660195 661419 806905 1017477 1102365 1243583 1281555 1452429 1695795 1921901 1980585 2420715 3052431 3307095 3730749 4357287 5087385 5765703 6217915 7262145 9609505 11192247 15262155 17297109 18653745 21140911 21786435 28828515 33576741 51891327 55961235 63422733 86485545 105704555 167883705 190268199 259456635 317113665 570804597 951340995 2854022985