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8290822449 = 371322336101
BaseRepresentation
bin1111011100010101…
…11110100100110001
3210101210122102022010
413232022332210301
5113434422304244
63450405033133
7412311554010
oct75612764461
923353572263
108290822449
113574a53688
1217346b57a9
13a21879800
1458916ca77
15337ce4eb9
hex1ee2be931

8290822449 has 24 divisors (see below), whose sum is σ = 13680213312. Its totient is φ = 4373179200.

The previous prime is 8290822447. The next prime is 8290822453. The reversal of 8290822449 is 9442280928.

8290822449 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8290822449 - 21 = 8290822447 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8290822398 and 8290822407.

It is not an unprimeable number, because it can be changed into a prime (8290822447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1164502 + ... + 1171599.

It is an arithmetic number, because the mean of its divisors is an integer number (570008888).

Almost surely, 28290822449 is an apocalyptic number.

It is an amenable number.

8290822449 is a deficient number, since it is larger than the sum of its proper divisors (5389390863).

8290822449 is a wasteful number, since it uses less digits than its factorization.

8290822449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336137 (or 2336124 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 8290822449 is about 91053.9535056002. The cubic root of 8290822449 is about 2023.9473225242.

The spelling of 8290822449 in words is "eight billion, two hundred ninety million, eight hundred twenty-two thousand, four hundred forty-nine".

Divisors: 1 3 7 13 21 39 91 169 273 507 1183 3549 2336101 7008303 16352707 30369313 49058121 91107939 212585191 394801069 637755573 1184403207 2763607483 8290822449