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84539728 = 24713311873
BaseRepresentation
bin1010000100111…
…11100101010000
312220002001201001
411002133211100
5133120232403
612215551344
72044401340
oct502374520
9186061631
1084539728
11437a1a49
122438b554
131468c810
14b328d20
15764dc1d
hex509f950

84539728 has 80 divisors (see below), whose sum is σ = 208208896. Its totient is φ = 32348160.

The previous prime is 84539723. The next prime is 84539803. The reversal of 84539728 is 82793548.

It is a super-2 number, since 2×845397282 = 14293931220627968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84539723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44200 + ... + 46072.

Almost surely, 284539728 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 84539728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104104448).

84539728 is an abundant number, since it is smaller than the sum of its proper divisors (123669168).

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

84539728 is a wasteful number, since it uses less digits than its factorization.

84539728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1926 counting only the distinct ones).

The product of its digits is 483840, while the sum is 46.

The square root of 84539728 is about 9194.5488198171. The cubic root of 84539728 is about 438.8879078283.

It can be divided in two parts, 8453 and 9728, that added together give a palindrome (18181).

The spelling of 84539728 in words is "eighty-four million, five hundred thirty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 104 112 124 182 208 217 248 364 403 434 496 728 806 868 1456 1612 1736 1873 2821 3224 3472 3746 5642 6448 7492 11284 13111 14984 22568 24349 26222 29968 45136 48698 52444 58063 97396 104888 116126 170443 194792 209776 232252 340886 389584 406441 464504 681772 754819 812882 929008 1363544 1509638 1625764 2727088 3019276 3251528 5283733 6038552 6503056 10567466 12077104 21134932 42269864 84539728