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84216054 = 2313792173
BaseRepresentation
bin1010000010100…
…00100011110110
312212110121201010
411001100203312
5133024403204
612205013050
72041552566
oct501204366
9185417633
1084216054
11435a084a
1224254186
13145a83b0
14b282da6
1575d7d89
hex50508f6

84216054 has 48 divisors (see below), whose sum is σ = 184775472. Its totient is φ = 25436736.

The previous prime is 84216053. The next prime is 84216061. The reversal of 84216054 is 45061248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84216053) 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, 486712 + ... + 486884.

It is an arithmetic number, because the mean of its divisors is an integer number (3849489).

Almost surely, 284216054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84216054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92387736).

84216054 is an abundant number, since it is smaller than the sum of its proper divisors (100559418).

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

84216054 is a wasteful number, since it uses less digits than its factorization.

84216054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 84216054 is about 9176.9305325909. The cubic root of 84216054 is about 438.3270737282.

The spelling of 84216054 in words is "eighty-four million, two hundred sixteen thousand, fifty-four".

Divisors: 1 2 3 6 13 26 39 78 79 158 173 237 346 474 519 1027 1038 2054 2249 3081 4498 6162 6241 6747 12482 13494 13667 18723 27334 37446 41001 81133 82002 162266 177671 243399 355342 486798 533013 1066026 1079693 2159386 3239079 6478158 14036009 28072018 42108027 84216054