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84283875 = 33531317113
BaseRepresentation
bin1010000011000…
…01000111100011
312212121001202000
411001201013203
5133034041000
612210255043
72042254404
oct501410743
9185531660
1084283875
11436377a5
1224287483
1314600220
14b29d9ab
1575ed000
hex50611e3

84283875 has 128 divisors (see below), whose sum is σ = 179262720. Its totient is φ = 38707200.

The previous prime is 84283861. The next prime is 84283879. The reversal of 84283875 is 57838248.

It is not a de Polignac number, because 84283875 - 27 = 84283747 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 84283875.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84283879) 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 127 ways as a sum of consecutive naturals, for example, 745819 + ... + 745931.

It is an arithmetic number, because the mean of its divisors is an integer number (1400490).

Almost surely, 284283875 is an apocalyptic number.

84283875 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

84283875 is an abundant number, since it is smaller than the sum of its proper divisors (94978845).

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

84283875 is a wasteful number, since it uses less digits than its factorization.

84283875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 151 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 84283875 is about 9180.6249787256. The cubic root of 84283875 is about 438.4447068970. Note that the first 3 decimals are identical.

It can be divided in two parts, 84283 and 875, that added together give a palindrome (85158).

The spelling of 84283875 in words is "eighty-four million, two hundred eighty-three thousand, eight hundred seventy-five".

Divisors: 1 3 5 9 13 15 17 25 27 39 45 51 65 75 85 113 117 125 135 153 195 221 225 255 325 339 351 375 425 459 565 585 663 675 765 975 1017 1105 1125 1275 1469 1625 1695 1755 1921 1989 2125 2295 2825 2925 3051 3315 3375 3825 4407 4875 5085 5525 5763 5967 6375 7345 8475 8775 9605 9945 11475 13221 14125 14625 15255 16575 17289 19125 22035 24973 25425 27625 28815 29835 36725 39663 42375 43875 48025 49725 51867 57375 66105 74919 76275 82875 86445 110175 124865 127125 144075 149175 183625 198315 224757 240125 248625 259335 330525 374595 381375 432225 550875 624325 674271 720375 745875 991575 1123785 1296675 1652625 1872975 2161125 3121625 3371355 4957875 5618925 6483375 9364875 16856775 28094625 84283875