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5788288 = 27114111
BaseRepresentation
bin10110000101001010000000
3101220002001001
4112011022000
52440211123
6324021344
7100125322
oct26051200
911802031
105788288
1132a3910
121b31854
13127882c
14aa9612
157950ad
hex585280

5788288 has 32 divisors (see below), whose sum is σ = 12582720. Its totient is φ = 2630400.

The previous prime is 5788271. The next prime is 5788297. The reversal of 5788288 is 8828875.

It can be divided in two parts, 57882 and 88, that added together give a triangular number (57970 = T340).

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 648 + ... + 3463.

It is an arithmetic number, because the mean of its divisors is an integer number (393210).

Almost surely, 25788288 is an apocalyptic number.

It is an amenable number.

5788288 is an abundant number, since it is smaller than the sum of its proper divisors (6794432).

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

5788288 is a wasteful number, since it uses less digits than its factorization.

5788288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 4124 counting only the distinct ones).

The product of its digits is 286720, while the sum is 46.

The square root of 5788288 is about 2405.8861153430. The cubic root of 5788288 is about 179.5491598037.

The spelling of 5788288 in words is "five million, seven hundred eighty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 4111 8222 16444 32888 45221 65776 90442 131552 180884 263104 361768 526208 723536 1447072 2894144 5788288