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84364812 = 223271747419
BaseRepresentation
bin1010000011101…
…00111000001100
312212202011202200
411001310320030
5133044133222
612212121500
72043042360
oct501647014
9185664680
1084364812
1143692594
1224306290
131462b00c
14b2c12a0
157616eac
hex5074e0c

84364812 has 144 divisors (see below), whose sum is σ = 264176640. Its totient is φ = 22150656.

The previous prime is 84364793. The next prime is 84364837. The reversal of 84364812 is 21846348.

84364812 is a `hidden beast` number, since 8 + 4 + 3 + 648 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201139 + ... + 201557.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 284364812 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 84364812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

84364812 is an abundant number, since it is smaller than the sum of its proper divisors (179811828).

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

84364812 is a wasteful number, since it uses less digits than its factorization.

84364812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 495 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 84364812 is about 9185.0319542177. The cubic root of 84364812 is about 438.5850067516.

The spelling of 84364812 in words is "eighty-four million, three hundred sixty-four thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 47 51 63 68 84 94 102 119 126 141 153 188 204 238 252 282 306 329 357 419 423 476 564 612 658 714 799 838 846 987 1071 1257 1316 1428 1598 1676 1692 1974 2142 2397 2514 2933 2961 3196 3771 3948 4284 4794 5028 5593 5866 5922 7123 7191 7542 8799 9588 11186 11732 11844 14246 14382 15084 16779 17598 19693 21369 22372 26397 28492 28764 33558 35196 39386 42738 49861 50337 52794 59079 64107 67116 78772 85476 99722 100674 105588 118158 128214 137851 149583 177237 199444 201348 236316 256428 275702 299166 334781 354474 413553 448749 551404 598332 669562 708948 827106 897498 1004343 1240659 1339124 1654212 1794996 2008686 2343467 2481318 3013029 4017372 4686934 4962636 6026058 7030401 9373868 12052116 14060802 21091203 28121604 42182406 84364812