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84252204 = 223317109421
BaseRepresentation
bin1010000010110…
…01011000101100
312212112110022000
411001121120230
5133032032304
612205452300
72042063151
oct501313054
9185473260
1084252204
1143615a23
1224271090
13145bb99a
14b292228
1575e3939
hex505962c

84252204 has 96 divisors (see below), whose sum is σ = 233956800. Its totient is φ = 26127360.

The previous prime is 84252193. The next prime is 84252227. The reversal of 84252204 is 40225248.

It is a happy number.

84252204 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

84252204 is strictly pandigital in base 9.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 199914 + ... + 200334.

It is an arithmetic number, because the mean of its divisors is an integer number (2437050).

Almost surely, 284252204 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 84252204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116978400).

84252204 is an abundant number, since it is smaller than the sum of its proper divisors (149704596).

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

84252204 is a wasteful number, since it uses less digits than its factorization.

84252204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 84252204 is about 9178.8999340880. The cubic root of 84252204 is about 438.3897825042.

The spelling of 84252204 in words is "eighty-four million, two hundred fifty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 109 153 204 218 306 327 421 436 459 612 654 842 918 981 1263 1308 1684 1836 1853 1962 2526 2943 3706 3789 3924 5052 5559 5886 7157 7412 7578 11118 11367 11772 14314 15156 16677 21471 22236 22734 28628 33354 42942 45468 45889 50031 64413 66708 85884 91778 100062 128826 137667 183556 193239 200124 257652 275334 386478 413001 550668 772956 780113 826002 1239003 1560226 1652004 2340339 2478006 3120452 4680678 4956012 7021017 9361356 14042034 21063051 28084068 42126102 84252204