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84873684 = 223721971107
BaseRepresentation
bin1010000111100…
…01000111010100
312220201000210210
411003301013110
5133211424214
612231045420
72050262100
oct503610724
9186630723
1084873684
11439aa945
1224510870
131477881c
14b3b4900
1576b7b59
hex50f11d4

84873684 has 144 divisors (see below), whose sum is σ = 248209920. Its totient is φ = 22438080.

The previous prime is 84873667. The next prime is 84873689. The reversal of 84873684 is 48637848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84873689) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 793159 + ... + 793265.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 284873684 is an apocalyptic number.

84873684 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84873684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124104960).

84873684 is an abundant number, since it is smaller than the sum of its proper divisors (163336236).

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

84873684 is a wasteful number, since it uses less digits than its factorization.

84873684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 209 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 84873684 is about 9212.6914634107. The cubic root of 84873684 is about 439.4650592627.

The spelling of 84873684 in words is "eighty-four million, eight hundred seventy-three thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 71 76 84 98 107 114 133 142 147 196 213 214 228 266 284 294 321 399 426 428 497 532 588 642 749 798 852 931 994 1284 1349 1491 1498 1596 1862 1988 2033 2247 2698 2793 2982 2996 3479 3724 4047 4066 4494 5243 5396 5586 5964 6099 6958 7597 8094 8132 8988 9443 10437 10486 11172 12198 13916 14231 15194 15729 16188 18886 20874 20972 22791 24396 28329 28462 30388 31458 37772 41748 42693 45582 53179 56658 56924 62916 66101 85386 91164 99617 106358 113316 132202 144343 159537 170772 198303 199234 212716 264404 288686 298851 319074 372253 396606 398468 433029 577372 597702 638148 744506 793212 866058 1010401 1116759 1195404 1489012 1732116 2020802 2233518 3031203 4041604 4467036 6062406 7072807 12124812 14145614 21218421 28291228 42436842 84873684