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84518112 = 2537173727
BaseRepresentation
bin1010000100110…
…10010011100000
312220000222001110
411002122103200
5133114034422
612215303320
72044251330
oct502322340
9186028043
1084518112
1143787788
122437ab40
1314682a23
14b3210c0
15764760c
hex509a4e0

84518112 has 96 divisors (see below), whose sum is σ = 255370752. Its totient is φ = 23975424.

The previous prime is 84518081. The next prime is 84518141. The reversal of 84518112 is 21181548.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×845181122 = 14286622512089088, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84518112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115893 + ... + 116619.

It is an arithmetic number, because the mean of its divisors is an integer number (2660112).

Almost surely, 284518112 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 84518112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127685376).

84518112 is an abundant number, since it is smaller than the sum of its proper divisors (170852640).

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

84518112 is a wasteful number, since it uses less digits than its factorization.

84518112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 912 counting only the distinct ones).

The product of its digits is 2560, while the sum is 30.

The square root of 84518112 is about 9193.3732655647. The cubic root of 84518112 is about 438.8504981594.

The spelling of 84518112 in words is "eighty-four million, five hundred eighteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 173 224 336 346 519 672 692 727 1038 1211 1384 1454 2076 2181 2422 2768 2908 3633 4152 4362 4844 5089 5536 5816 7266 8304 8724 9688 10178 11632 14532 15267 16608 17448 19376 20356 23264 29064 30534 34896 38752 40712 58128 61068 69792 81424 116256 122136 125771 162848 244272 251542 377313 488544 503084 754626 880397 1006168 1509252 1760794 2012336 2641191 3018504 3521588 4024672 5282382 6037008 7043176 10564764 12074016 14086352 21129528 28172704 42259056 84518112