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8073888 = 253312713
BaseRepresentation
bin11110110011001010100000
3120012012021220
4132303022200
54031331023
6445015040
7125425014
oct36631240
916165256
108073888
114615039
122854480
131898c64
141102544
15a973e3
hex7b32a0

8073888 has 48 divisors (see below), whose sum is σ = 21885696. Its totient is φ = 2603520.

The previous prime is 8073887. The next prime is 8073889. The reversal of 8073888 is 8883708.

It is an interprime number because it is at equal distance from previous prime (8073887) and next prime (8073889).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (8073887) 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, 1620 + ... + 4332.

It is an arithmetic number, because the mean of its divisors is an integer number (455952).

Almost surely, 28073888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8073888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10942848).

8073888 is an abundant number, since it is smaller than the sum of its proper divisors (13811808).

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

8073888 is a wasteful number, since it uses less digits than its factorization.

8073888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 8073888 is about 2841.4587802747. The cubic root of 8073888 is about 200.6138473629.

The spelling of 8073888 in words is "eight million, seventy-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2713 2976 5426 8139 10852 16278 21704 32556 43408 65112 84103 86816 130224 168206 252309 260448 336412 504618 672824 1009236 1345648 2018472 2691296 4036944 8073888