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8226052296 = 23371138911443
BaseRepresentation
bin1111010100100111…
…11001100011001000
3210020021202202100120
413222103321203020
5113321332133141
63440132503240
7410564201520
oct75223714310
923207682316
108226052296
113541434930
121716a7ab20
13a1131c587
1458070c680
1533229dc66
hex1ea4f98c8

8226052296 has 128 divisors (see below), whose sum is σ = 25707801600. Its totient is φ = 2130958080.

The previous prime is 8226052273. The next prime is 8226052297. The reversal of 8226052296 is 6922506228.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (8226052297) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 713151 + ... + 724593.

It is an arithmetic number, because the mean of its divisors is an integer number (200842200).

Almost surely, 28226052296 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 8226052296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12853900800).

8226052296 is an abundant number, since it is smaller than the sum of its proper divisors (17481749304).

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

8226052296 is a wasteful number, since it uses less digits than its factorization.

8226052296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11859 (or 11855 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 8226052296 is about 90697.5870461833. The cubic root of 8226052296 is about 2018.6629959200.

The spelling of 8226052296 in words is "eight billion, two hundred twenty-six million, fifty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 389 462 616 778 924 1167 1556 1848 2334 2723 3112 4279 4668 5446 8169 8558 9336 10892 11443 12837 16338 17116 21784 22886 25674 29953 32676 34232 34329 45772 51348 59906 65352 68658 80101 89859 91544 102696 119812 125873 137316 160202 179718 239624 240303 251746 274632 320404 359436 377619 480606 503492 640808 718872 755238 881111 961212 1006984 1510476 1762222 1922424 2643333 3020952 3524444 4451327 5286666 7048888 8902654 10573332 13353981 17805308 21146664 26707962 31159289 35610616 48964597 53415924 62318578 93477867 97929194 106831848 124637156 146893791 186955734 195858388 249274312 293787582 342752179 373911468 391716776 587575164 685504358 747822936 1028256537 1175150328 1371008716 2056513074 2742017432 4113026148 8226052296