Search a number
-
+
8067864 = 233748023
BaseRepresentation
bin11110110001101100011000
3120011220000210
4132301230120
54031132424
6444531120
7125401320
oct36615430
916156023
108067864
114610562
122850aa0
1318962ac
141100280
15a95729
hex7b1b18

8067864 has 32 divisors (see below), whose sum is σ = 23051520. Its totient is φ = 2305056.

The previous prime is 8067863. The next prime is 8067881. The reversal of 8067864 is 4687608.

8067864 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8067863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23844 + ... + 24179.

It is an arithmetic number, because the mean of its divisors is an integer number (720360).

Almost surely, 28067864 is an apocalyptic number.

8067864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8067864 is an abundant number, since it is smaller than the sum of its proper divisors (14983656).

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

8067864 is a wasteful number, since it uses less digits than its factorization.

8067864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48039 (or 48035 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 8067864 is about 2840.3985635822. The cubic root of 8067864 is about 200.5639416876.

The spelling of 8067864 in words is "eight million, sixty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 48023 96046 144069 192092 288138 336161 384184 576276 672322 1008483 1152552 1344644 2016966 2689288 4033932 8067864