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84406212 = 22341122153
BaseRepresentation
bin1010000011111…
…10111111000100
312212211021120000
411001332333010
5133101444322
612213041300
72043304152
oct501767704
9185737500
1084406212
1143710700
1224326230
1314643b07
14b2d23d2
1576243ac
hex507efc4

84406212 has 90 divisors (see below), whose sum is σ = 242650254. Its totient is φ = 25565760.

The previous prime is 84406193. The next prime is 84406237. The reversal of 84406212 is 21260448.

84406212 is a `hidden beast` number, since 8 + 440 + 6 + 212 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53670276 + 30735936 = 7326^2 + 5544^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 38128 + ... + 40280.

Almost surely, 284406212 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 84406212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121325127).

84406212 is an abundant number, since it is smaller than the sum of its proper divisors (158244042).

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

84406212 is a wasteful number, since it uses less digits than its factorization.

84406212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 84406212 is about 9187.2853444312. The cubic root of 84406212 is about 438.6567366966.

The spelling of 84406212 in words is "eighty-four million, four hundred six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1452 1782 2153 2178 3267 3564 4306 4356 6459 6534 8612 9801 12918 13068 19377 19602 23683 25836 38754 39204 47366 58131 71049 77508 94732 116262 142098 174393 213147 232524 260513 284196 348786 426294 521026 639441 697572 781539 852588 1042052 1278882 1563078 1918323 2344617 2557764 3126156 3836646 4689234 7033851 7673292 9378468 14067702 21101553 28135404 42203106 84406212