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5728305 = 3511149233
BaseRepresentation
bin10101110110100000110001
3101210000202110
4111312200301
52431301210
6322435533
766455412
oct25664061
911700673
105728305
113262840
121b02ba9
13125743b
14a91809
15782420
hex576831

5728305 has 32 divisors (see below), whose sum is σ = 10108800. Its totient is φ = 2746880.

The previous prime is 5728301. The next prime is 5728319. The reversal of 5728305 is 5038275.

It is a happy number.

It is not a de Polignac number, because 5728305 - 22 = 5728301 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5728301) 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 31 ways as a sum of consecutive naturals, for example, 24469 + ... + 24701.

It is an arithmetic number, because the mean of its divisors is an integer number (315900).

Almost surely, 25728305 is an apocalyptic number.

5728305 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5728305 is a deficient number, since it is larger than the sum of its proper divisors (4380495).

5728305 is a wasteful number, since it uses less digits than its factorization.

5728305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401.

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 5728305 is about 2393.3877663262. The cubic root of 5728305 is about 178.9267929888.

Subtracting from 5728305 its sum of digits (30), we obtain a palindrome (5728275).

The spelling of 5728305 in words is "five million, seven hundred twenty-eight thousand, three hundred five".

Divisors: 1 3 5 11 15 33 55 149 165 233 447 699 745 1165 1639 2235 2563 3495 4917 7689 8195 12815 24585 34717 38445 104151 173585 381887 520755 1145661 1909435 5728305