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84478212 = 2232713107241
BaseRepresentation
bin1010000100100…
…00100100000100
312212221221022200
411002100210010
5133111300322
612214354500
72044024110
oct502204404
9185857280
1084478212
114375a805
122435ba30
131466a810
14b310740
15763a8ac
hex5090904

84478212 has 144 divisors (see below), whose sum is σ = 266378112. Its totient is φ = 21980160.

The previous prime is 84478201. The next prime is 84478217. The reversal of 84478212 is 21287448.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (84478217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 350412 + ... + 350652.

It is an arithmetic number, because the mean of its divisors is an integer number (1849848).

Almost surely, 284478212 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 84478212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133189056).

84478212 is an abundant number, since it is smaller than the sum of its proper divisors (181899900).

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

84478212 is a wasteful number, since it uses less digits than its factorization.

84478212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 373 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 84478212 is about 9191.2029680559. The cubic root of 84478212 is about 438.7814285812.

The spelling of 84478212 in words is "eighty-four million, four hundred seventy-eight thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 107 117 126 156 182 214 234 241 252 273 321 364 428 468 482 546 642 723 749 819 963 964 1092 1284 1391 1446 1498 1638 1687 1926 2169 2247 2782 2892 2996 3133 3276 3374 3852 4173 4338 4494 5061 5564 6266 6741 6748 8346 8676 8988 9399 9737 10122 12519 12532 13482 15183 16692 18798 19474 20244 21931 25038 25787 26964 28197 29211 30366 37596 38948 43862 50076 51574 56394 58422 60732 65793 77361 87633 87724 103148 112788 116844 131586 154722 175266 180509 197379 232083 263172 309444 335231 350532 361018 394758 464166 541527 670462 722036 789516 928332 1005693 1083054 1340924 1624581 2011386 2166108 2346617 3017079 3249162 4022772 4693234 6034158 6498324 7039851 9386468 12068316 14079702 21119553 28159404 42239106 84478212