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84088494 = 232717371061
BaseRepresentation
bin1010000001100…
…01011010101110
312212020010201200
411000301122232
5133011312434
612202150330
72040511650
oct500613256
9185203650
1084088494
1143513a26
12241b23a6
1314562309
14b24c6d0
1575b0199
hex50316ae

84088494 has 96 divisors (see below), whose sum is σ = 226639296. Its totient is φ = 21980160.

The previous prime is 84088489. The next prime is 84088513. The reversal of 84088494 is 49488048.

84088494 is a `hidden beast` number, since 84 + 0 + 88 + 494 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78724 + ... + 79784.

It is an arithmetic number, because the mean of its divisors is an integer number (2360826).

Almost surely, 284088494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84088494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113319648).

84088494 is an abundant number, since it is smaller than the sum of its proper divisors (142550802).

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

84088494 is a wasteful number, since it uses less digits than its factorization.

84088494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 84088494 is about 9169.9778625687. The cubic root of 84088494 is about 438.1056541268.

The spelling of 84088494 in words is "eighty-four million, eighty-eight thousand, four hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 37 42 51 63 74 102 111 119 126 153 222 238 259 306 333 357 518 629 666 714 777 1061 1071 1258 1554 1887 2122 2142 2331 3183 3774 4403 4662 5661 6366 7427 8806 9549 11322 13209 14854 18037 19098 22281 26418 36074 39257 39627 44562 54111 66843 78514 79254 108222 117771 126259 133686 162333 235542 252518 274799 324666 353313 378777 549598 667369 706626 757554 824397 1136331 1334738 1648794 2002107 2272662 2473191 4004214 4671583 4946382 6006321 9343166 12012642 14014749 28029498 42044247 84088494