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5284512 = 253259311
BaseRepresentation
bin10100001010001010100000
3100221110222200
4110022022200
52323101022
6305133200
762626512
oct24121240
910843880
105284512
112a8a372
12192a200
13113043c
149b7bb2
156e5bac
hex50a2a0

5284512 has 72 divisors (see below), whose sum is σ = 15331680. Its totient is φ = 1726080.

The previous prime is 5284511. The next prime is 5284523. The reversal of 5284512 is 2154825.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (5284511) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 16837 + ... + 17147.

It is an arithmetic number, because the mean of its divisors is an integer number (212940).

Almost surely, 25284512 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 5284512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7665840).

5284512 is an abundant number, since it is smaller than the sum of its proper divisors (10047168).

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

5284512 is a wasteful number, since it uses less digits than its factorization.

5284512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 375 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 5284512 is about 2298.8066469366. The cubic root of 5284512 is about 174.1813408676.

The spelling of 5284512 in words is "five million, two hundred eighty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 177 236 288 311 354 472 531 622 708 933 944 1062 1244 1416 1866 1888 2124 2488 2799 2832 3732 4248 4976 5598 5664 7464 8496 9952 11196 14928 16992 18349 22392 29856 36698 44784 55047 73396 89568 110094 146792 165141 220188 293584 330282 440376 587168 660564 880752 1321128 1761504 2642256 5284512