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84982014 = 23313177121
BaseRepresentation
bin1010001000010…
…11100011111110
312220220112102000
411010023203332
5133223411024
612233243130
72051222655
oct504134376
9186815360
1084982014
1143a74277
12245634a6
13147b5c20
14b40219c
1576d9cc9
hex510b8fe

84982014 has 64 divisors (see below), whose sum is σ = 215369280. Its totient is φ = 24606720.

The previous prime is 84981983. The next prime is 84982039. The reversal of 84982014 is 41028948.

It is a self number, because there is not a number n which added to its sum of digits gives 84982014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8374 + ... + 15494.

It is an arithmetic number, because the mean of its divisors is an integer number (3365145).

Almost surely, 284982014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84982014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107684640).

84982014 is an abundant number, since it is smaller than the sum of its proper divisors (130387266).

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

84982014 is a wasteful number, since it uses less digits than its factorization.

84982014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7162 (or 7156 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 84982014 is about 9218.5689778837. The cubic root of 84982014 is about 439.6519527229.

The spelling of 84982014 in words is "eighty-four million, nine hundred eighty-two thousand, fourteen".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 306 351 442 459 663 702 918 1326 1989 3978 5967 7121 11934 14242 21363 42726 64089 92573 121057 128178 185146 192267 242114 277719 363171 384534 555438 726342 833157 1089513 1573741 1666314 2179026 2499471 3147482 3268539 4721223 4998942 6537078 9442446 14163669 28327338 42491007 84982014