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84058212 = 22375379239
BaseRepresentation
bin1010000001010…
…10000001100100
312212011121012010
411000222001210
5133004330322
612201354220
72040324450
oct500520144
9185147163
1084058212
11434a31a7
1224198970
13145515b4
14b241660
1575a620c
hex502a064

84058212 has 96 divisors (see below), whose sum is σ = 232243200. Its totient is φ = 23167872.

The previous prime is 84058199. The next prime is 84058213. The reversal of 84058212 is 21285048.

84058212 is a modest number, since divided by 58212 gives 84 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 84058212.

It is not an unprimeable number, because it can be changed into a prime (84058213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351589 + ... + 351827.

It is an arithmetic number, because the mean of its divisors is an integer number (2419200).

Almost surely, 284058212 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 84058212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116121600).

84058212 is an abundant number, since it is smaller than the sum of its proper divisors (148184988).

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

84058212 is a wasteful number, since it uses less digits than its factorization.

84058212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 84058212 is about 9168.3265648645. The cubic root of 84058212 is about 438.0530575204.

The spelling of 84058212 in words is "eighty-four million, fifty-eight thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 79 84 106 158 159 212 237 239 316 318 371 474 478 553 636 717 742 948 956 1106 1113 1434 1484 1659 1673 2212 2226 2868 3318 3346 4187 4452 5019 6636 6692 8374 10038 12561 12667 16748 18881 20076 25122 25334 29309 37762 38001 50244 50668 56643 58618 75524 76002 87927 88669 113286 117236 132167 152004 175854 177338 226572 264334 266007 351708 354676 396501 528668 532014 793002 1000693 1064028 1586004 2001386 3002079 4002772 6004158 7004851 12008316 14009702 21014553 28019404 42029106 84058212