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84442005 = 32513713697
BaseRepresentation
bin1010000100001…
…11101110010101
312212220002122200
411002013232111
5133104121010
612213515113
72043513414
oct502075625
9185802580
1084442005
114373558a
1224342a99
13146571ab
14b30147b
15762ecc0
hex5087b95

84442005 has 24 divisors (see below), whose sum is σ = 147445272. Its totient is φ = 44703744.

The previous prime is 84441977. The next prime is 84442019. The reversal of 84442005 is 50024448.

It can be written as a sum of positive squares in 4 ways, for example, as 224676 + 84217329 = 474^2 + 9177^2 .

It is not a de Polignac number, because 84442005 - 29 = 84441493 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 84442005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 684 + ... + 13013.

It is an arithmetic number, because the mean of its divisors is an integer number (6143553).

Almost surely, 284442005 is an apocalyptic number.

It is an amenable number.

84442005 is a deficient number, since it is larger than the sum of its proper divisors (63003267).

84442005 is a wasteful number, since it uses less digits than its factorization.

84442005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13845 (or 13842 counting only the distinct ones).

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

The square root of 84442005 is about 9189.2331018426. The cubic root of 84442005 is about 438.7187330094.

It can be divided in two parts, 844 and 42005, that added together give a square (42849 = 2072).

The spelling of 84442005 in words is "eighty-four million, four hundred forty-two thousand, five".

Divisors: 1 3 5 9 15 45 137 411 685 1233 2055 6165 13697 41091 68485 123273 205455 616365 1876489 5629467 9382445 16888401 28147335 84442005