Search a number
-
+
84143982 = 231317233189
BaseRepresentation
bin1010000001111…
…10111101101110
312212022221211210
411000332331232
5133020101412
612203255250
72041132506
oct500767556
9185287753
1084143982
114355168a
122421a526
1314581650
14b264a06
1575c183c
hex503ef6e

84143982 has 128 divisors (see below), whose sum is σ = 209018880. Its totient is φ = 22302720.

The previous prime is 84143953. The next prime is 84144001. The reversal of 84143982 is 28934148.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 84143982.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 945394 + ... + 945482.

It is an arithmetic number, because the mean of its divisors is an integer number (1632960).

Almost surely, 284143982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84143982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104509440).

84143982 is an abundant number, since it is smaller than the sum of its proper divisors (124874898).

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

84143982 is a wasteful number, since it uses less digits than its factorization.

84143982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178.

The product of its digits is 55296, while the sum is 39.

The square root of 84143982 is about 9173.0028889127. The cubic root of 84143982 is about 438.2019981101.

The spelling of 84143982 in words is "eighty-four million, one hundred forty-three thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 13 17 23 26 31 34 39 46 51 62 69 78 89 93 102 138 178 186 221 267 299 391 403 442 527 534 598 663 713 782 806 897 1054 1157 1173 1209 1326 1426 1513 1581 1794 2047 2139 2314 2346 2418 2759 3026 3162 3471 4094 4278 4539 5083 5518 6141 6851 6942 8277 9078 9269 10166 12121 12282 13702 15249 16554 18538 19669 20553 24242 26611 27807 30498 34799 35867 36363 39338 41106 46903 53222 55614 59007 63457 69598 71734 72726 79833 93806 104397 107601 118014 126914 140709 157573 159666 190371 208794 215202 281418 315146 380742 452387 472719 609739 824941 904774 945438 1078769 1219478 1357161 1649882 1829217 2157538 2474823 2714322 3236307 3658434 4949646 6472614 14023997 28047994 42071991 84143982