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8743023828 = 223271113922691
BaseRepresentation
bin10000010010001111…
…11111010011010100
3211120022112121222100
420021013333103110
5120401203230303
64003321202100
7426442322250
oct101107772324
924508477870
108743023828
113787233230
121840030330
13a944674a6
145cd241260
1536286a8a3
hex2091ff4d4

8743023828 has 144 divisors (see below), whose sum is σ = 27753223680. Its totient is φ = 2254478400.

The previous prime is 8743023769. The next prime is 8743023841. The reversal of 8743023828 is 8283203478.

8743023828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 373963 + ... + 396653.

It is an arithmetic number, because the mean of its divisors is an integer number (192730720).

Almost surely, 28743023828 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 8743023828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13876611840).

8743023828 is an abundant number, since it is smaller than the sum of its proper divisors (19010199852).

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

8743023828 is a wasteful number, since it uses less digits than its factorization.

8743023828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22858 (or 22853 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 8743023828 is about 93504.1380260788. The cubic root of 8743023828 is about 2060.0948701085.

The spelling of 8743023828 in words is "eight billion, seven hundred forty-three million, twenty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 139 154 198 231 252 278 308 396 417 462 556 693 834 924 973 1251 1386 1529 1668 1946 2502 2772 2919 3058 3892 4587 5004 5838 6116 8757 9174 10703 11676 13761 17514 18348 21406 22691 27522 32109 35028 42812 45382 55044 64218 68073 90764 96327 128436 136146 158837 192654 204219 249601 272292 317674 385308 408438 476511 499202 635348 748803 816876 953022 998404 1429533 1497606 1747207 1906044 2246409 2859066 2995212 3154049 3494414 4492818 5241621 5718132 6308098 6988828 8985636 9462147 10483242 12616196 15724863 18924294 20966484 22078343 28386441 31449726 34694539 37848588 44156686 56772882 62899452 66235029 69389078 88313372 104083617 113545764 132470058 138778156 198705087 208167234 242861773 264940116 312250851 397410174 416334468 485723546 624501702 728585319 794820348 971447092 1249003404 1457170638 2185755957 2914341276 4371511914 8743023828