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84083166 = 23237191661
BaseRepresentation
bin1010000001100…
…00000111011110
312212012212102100
411000300013132
5133011130131
612202105530
72040460266
oct500600736
9185185370
1084083166
114350aa22
12241ab2a6
131455ca6b
14b24a7a6
1575ad7e6
hex50301de

84083166 has 48 divisors (see below), whose sum is σ = 188368128. Its totient is φ = 27086400.

The previous prime is 84083161. The next prime is 84083179. The reversal of 84083166 is 66138048.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 84083166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84083161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126876 + ... + 127536.

It is an arithmetic number, because the mean of its divisors is an integer number (3924336).

Almost surely, 284083166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84083166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94184064).

84083166 is an abundant number, since it is smaller than the sum of its proper divisors (104284962).

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

84083166 is a wasteful number, since it uses less digits than its factorization.

84083166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 84083166 is about 9169.6873447245. The cubic root of 84083166 is about 438.0964008742.

The spelling of 84083166 in words is "eighty-four million, eighty-three thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 37 74 111 191 222 333 382 573 661 666 1146 1322 1719 1983 3438 3966 5949 7067 11898 14134 21201 24457 42402 48914 63603 73371 126251 127206 146742 220113 252502 378753 440226 757506 1136259 2272518 4671287 9342574 14013861 28027722 42041583 84083166