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84585438 = 23371713163
BaseRepresentation
bin1010000101010…
…10101111011110
312220011101102000
411002222233132
5133123213223
612220543130
72044651530
oct502525736
9186141360
1084585438
1143823323
12243b1aa6
13146a7572
14b33b850
15765c543
hex50aabde

84585438 has 64 divisors (see below), whose sum is σ = 227473920. Its totient is φ = 22743936.

The previous prime is 84585437. The next prime is 84585443. The reversal of 84585438 is 83458548.

It is a junction number, because it is equal to n+sod(n) for n = 84585393 and 84585402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84585437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156 + ... + 13007.

It is an arithmetic number, because the mean of its divisors is an integer number (3554280).

Almost surely, 284585438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84585438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113736960).

84585438 is an abundant number, since it is smaller than the sum of its proper divisors (142888482).

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

84585438 is a wasteful number, since it uses less digits than its factorization.

84585438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13198 (or 13192 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 84585438 is about 9197.0341958699. The cubic root of 84585438 is about 438.9669947149.

The spelling of 84585438 in words is "eighty-four million, five hundred eighty-five thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 1071 2142 3213 6426 13163 26326 39489 78978 92141 118467 184282 223771 236934 276423 355401 447542 552846 671313 710802 829269 1342626 1566397 1658538 2013939 2487807 3132794 4027878 4699191 4975614 6041817 9398382 12083634 14097573 28195146 42292719 84585438