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8073864 = 233337379
BaseRepresentation
bin11110110011001010001000
3120012012021000
4132303022020
54031330424
6445015000
7125424651
oct36631210
916165230
108073864
114615017
122854460
131898c46
141102528
15a973c9
hex7b3288

8073864 has 32 divisors (see below), whose sum is σ = 22428000. Its totient is φ = 2691216.

The previous prime is 8073859. The next prime is 8073869. The reversal of 8073864 is 4683708.

It is an interprime number because it is at equal distance from previous prime (8073859) and next prime (8073869).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8073869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18474 + ... + 18905.

It is an arithmetic number, because the mean of its divisors is an integer number (700875).

Almost surely, 28073864 is an apocalyptic number.

It is an amenable number.

8073864 is an abundant number, since it is smaller than the sum of its proper divisors (14354136).

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

8073864 is a wasteful number, since it uses less digits than its factorization.

8073864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37394 (or 37384 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8073864 is about 2841.4545570887. The cubic root of 8073864 is about 200.6136485848.

The spelling of 8073864 in words is "eight million, seventy-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 37379 74758 112137 149516 224274 299032 336411 448548 672822 897096 1009233 1345644 2018466 2691288 4036932 8073864