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8276226728 = 2371126120023
BaseRepresentation
bin1111011010100110…
…10011001010101000
3210100210011212201212
413231103103022220
5113422203223403
63445124132252
7412043523620
oct75523231250
923323155655
108276226728
113567794700
12172b837088
13a1b8391a3
1458724d880
153368b04d8
hex1ed4d32a8

8276226728 has 96 divisors (see below), whose sum is σ = 19814148480. Its totient is φ = 3171484800.

The previous prime is 8276226709. The next prime is 8276226821.

8276226728 is nontrivially palindromic in base 10.

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 23 ways as a sum of consecutive naturals, for example, 403325 + ... + 423347.

It is an arithmetic number, because the mean of its divisors is an integer number (206397380).

Almost surely, 28276226728 is an apocalyptic number.

8276226728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8276226728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9907074240).

8276226728 is an abundant number, since it is smaller than the sum of its proper divisors (11537921752).

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

8276226728 is a wasteful number, since it uses less digits than its factorization.

8276226728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20119 (or 20104 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 50.

The square root of 8276226728 is about 90973.7694503201. The cubic root of 8276226728 is about 2022.7589272475.

The spelling of 8276226728 in words is "eight billion, two hundred seventy-six million, two hundred twenty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 61 77 88 121 122 154 242 244 308 427 484 488 616 671 847 854 968 1342 1694 1708 2684 3388 3416 4697 5368 6776 7381 9394 14762 18788 20023 29524 37576 40046 51667 59048 80092 103334 140161 160184 206668 220253 280322 413336 440506 560644 881012 1121288 1221403 1541771 1762024 2422783 2442806 3083542 4845566 4885612 6167084 8549821 9691132 9771224 12334168 13435433 16959481 17099642 19382264 26870866 33918962 34199284 53741732 67837924 68398568 94048031 107483464 135675848 147789763 188096062 295579526 376192124 591159052 752384248 1034528341 1182318104 2069056682 4138113364 8276226728