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84533085 = 3357213983
BaseRepresentation
bin1010000100111…
…01111101011101
312220001201121000
411002131331131
5133120024320
612215500513
72044343100
oct502357535
9186051530
1084533085
1143797a5a
1224387739
13146897a0
14b326737
15764bc90
hex509df5d

84533085 has 96 divisors (see below), whose sum is σ = 188455680. Its totient is φ = 35634816.

The previous prime is 84533083. The next prime is 84533087. The reversal of 84533085 is 58033548.

It is an interprime number because it is at equal distance from previous prime (84533083) and next prime (84533087).

It is not a de Polignac number, because 84533085 - 21 = 84533083 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84533083) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85504 + ... + 86486.

It is an arithmetic number, because the mean of its divisors is an integer number (1963080).

Almost surely, 284533085 is an apocalyptic number.

It is an amenable number.

84533085 is an abundant number, since it is smaller than the sum of its proper divisors (103922595).

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

84533085 is a wasteful number, since it uses less digits than its factorization.

84533085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 84533085 is about 9194.1875660659. The cubic root of 84533085 is about 438.8764118181.

It can be divided in two parts, 845 and 33085, that added together give a triangular number (33930 = T260).

The spelling of 84533085 in words is "eighty-four million, five hundred thirty-three thousand, eighty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 49 63 65 91 105 117 135 147 189 195 245 273 315 351 441 455 585 637 735 819 945 983 1323 1365 1755 1911 2205 2457 2949 3185 4095 4915 5733 6615 6881 8847 9555 12285 12779 14745 17199 20643 26541 28665 34405 38337 44235 48167 61929 63895 85995 89453 103215 115011 132705 144501 185787 191685 240835 268359 309645 345033 433503 447265 575055 626171 722505 805077 928935 1300509 1341795 1725165 1878513 2167515 2415231 3130855 4025385 5635539 6502545 9392565 12076155 16906617 28177695 84533085