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84488208 = 2437416133
BaseRepresentation
bin1010000100100…
…11000000010000
312212222110000220
411002103000100
5133112110313
612214513040
72044065210
oct502230020
9185873026
1084488208
1143767272
1224365780
131467222c
14b314240
15763d823
hex5093010

84488208 has 80 divisors (see below), whose sum is σ = 255566976. Its totient is φ = 23546880.

The previous prime is 84488207. The next prime is 84488213. The reversal of 84488208 is 80288448.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 84488208.

It is not an unprimeable number, because it can be changed into a prime (84488203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10710 + ... + 16842.

Almost surely, 284488208 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 84488208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127783488).

84488208 is an abundant number, since it is smaller than the sum of its proper divisors (171078768).

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

84488208 is a wasteful number, since it uses less digits than its factorization.

84488208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6192 (or 6186 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 42.

The square root of 84488208 is about 9191.7467328033. The cubic root of 84488208 is about 438.7987343696.

The spelling of 84488208 in words is "eighty-four million, four hundred eighty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1148 1722 1968 2296 3444 4592 6133 6888 12266 13776 18399 24532 36798 42931 49064 73596 85862 98128 128793 147192 171724 251453 257586 294384 343448 502906 515172 686896 754359 1005812 1030344 1508718 1760171 2011624 2060688 3017436 3520342 4023248 5280513 6034872 7040684 10561026 12069744 14081368 21122052 28162736 42244104 84488208