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5985000528 = 2431326336469
BaseRepresentation
bin1011001001011101…
…11101110001010000
3120110002211112021020
411210232331301100
544224130004103
62425515155440
7301212444063
oct54456756120
916402745236
105985000528
1125a1416531
1211b0445b80
13744c46740
1440ac268da
15250673753
hex164bbdc50

5985000528 has 80 divisors (see below), whose sum is σ = 16714346880. Its totient is φ = 1834486272.

The previous prime is 5985000517. The next prime is 5985000559. The reversal of 5985000528 is 8250005895.

5985000528 is a nontrivial binomial coefficient, being equal to C(109408, 2).

It is a self number, because there is not a number n which added to its sum of digits gives 5985000528.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145878 + ... + 182346.

It is an arithmetic number, because the mean of its divisors is an integer number (208929336).

Almost surely, 25985000528 is an apocalyptic number.

5985000528 is the 109407-th triangular number and also the 54704-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5985000528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8357173440).

5985000528 is an abundant number, since it is smaller than the sum of its proper divisors (10729346352).

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

5985000528 is a wasteful number, since it uses less digits than its factorization.

5985000528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36756 (or 36750 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 42.

The square root of 5985000528 is about 77362.7851618593. The cubic root of 5985000528 is about 1815.6051154178.

The spelling of 5985000528 in words is "five billion, nine hundred eighty-five million, five hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 263 312 526 624 789 1052 1578 2104 3156 3419 4208 6312 6838 10257 12624 13676 20514 27352 36469 41028 54704 72938 82056 109407 145876 164112 218814 291752 437628 474097 583504 875256 948194 1422291 1750512 1896388 2844582 3792776 5689164 7585552 9591347 11378328 19182694 22756656 28774041 38365388 57548082 76730776 115096164 124687511 153461552 230192328 249375022 374062533 460384656 498750044 748125066 997500088 1496250132 1995000176 2992500264 5985000528