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649434256 = 242322772
BaseRepresentation
bin100110101101011…
…001010010010000
31200021000200022121
4212231121102100
52312223344011
6144235344024
722044046222
oct4655312220
91607020277
10649434256
11303652629
121615b2014
13a4716633
1462374412
153c034e71
hex26b59490

649434256 has 45 divisors (see below), whose sum is σ = 1320131001. Its totient is φ = 309477696.

The previous prime is 649434241. The next prime is 649434257. The reversal of 649434256 is 652434946.

It is a happy number.

The square root of 649434256 is 25484.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 111936400 + 537497856 = 10580^2 + 23184^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (649434257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2344390 + ... + 2344666.

Almost surely, 2649434256 is an apocalyptic number.

649434256 is the 25484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 649434256

649434256 is an abundant number, since it is smaller than the sum of its proper divisors (670696745).

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

649434256 is an equidigital number, since it uses as much as digits as its factorization.

649434256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 302 counting only the distinct ones).

The product of its digits is 622080, while the sum is 43.

The cubic root of 649434256 is about 865.9877146605.

The spelling of 649434256 in words is "six hundred forty-nine million, four hundred thirty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 23 46 92 184 277 368 529 554 1058 1108 2116 2216 4232 4432 6371 8464 12742 25484 50968 76729 101936 146533 153458 293066 306916 586132 613832 1172264 1227664 1764767 2344528 3529534 7059068 14118136 28236272 40589641 81179282 162358564 324717128 649434256