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820422673 = 72329199883
BaseRepresentation
bin110000111001101…
…010100000010001
32010011202210022221
4300321222200101
53140012011143
6213224301041
726221322560
oct6071524021
92104683287
10820422673
1139111a774
121aa911781
13100c83805
147ad63bd7
154c05d2ed
hex30e6a811

820422673 has 32 divisors (see below), whose sum is σ = 1018368000. Its totient is φ = 645454656.

The previous prime is 820422623. The next prime is 820422683. The reversal of 820422673 is 376224028.

It is not a de Polignac number, because 820422673 - 213 = 820414481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820422623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 928690 + ... + 929572.

It is an arithmetic number, because the mean of its divisors is an integer number (31824000).

Almost surely, 2820422673 is an apocalyptic number.

It is an amenable number.

820422673 is a deficient number, since it is larger than the sum of its proper divisors (197945327).

820422673 is a wasteful number, since it uses less digits than its factorization.

820422673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141.

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 820422673 is about 28643.0213664690. The cubic root of 820422673 is about 936.1509549218.

The spelling of 820422673 in words is "eight hundred twenty million, four hundred twenty-two thousand, six hundred seventy-three".

Divisors: 1 7 23 29 161 199 203 667 883 1393 4577 4669 5771 6181 20309 25607 32039 40397 132733 142163 175717 179249 588961 929131 1230019 4041491 4122727 5095793 28290437 35670551 117203239 820422673