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8023873 = 112135101
BaseRepresentation
bin11110100110111101000001
3120002122200111
4132212331001
54023230443
6443551321
7125126134
oct36467501
916078614
108023873
114590500
12282b541
13187c270
1410cc21b
15a8769d
hex7a6f41

8023873 has 12 divisors (see below), whose sum is σ = 9499924. Its totient is φ = 6732000.

The previous prime is 8023861. The next prime is 8023877. The reversal of 8023873 is 3783208.

8023873 = T302 + T303 + ... + T422.

8023873 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 339889 + 7683984 = 583^2 + 2772^2 .

It is not a de Polignac number, because 8023873 - 221 = 5926721 is a prime.

It is a Duffinian number.

8023873 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8023877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 978 + ... + 4123.

Almost surely, 28023873 is an apocalyptic number.

It is an amenable number.

8023873 is a deficient number, since it is larger than the sum of its proper divisors (1476051).

8023873 is a wasteful number, since it uses less digits than its factorization.

8023873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136 (or 5125 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 8023873 is about 2832.6441710882. The cubic root of 8023873 is about 200.1987441052.

The spelling of 8023873 in words is "eight million, twenty-three thousand, eight hundred seventy-three".

Divisors: 1 11 13 121 143 1573 5101 56111 66313 617221 729443 8023873