Search a number
-
+
643238656 = 2817612423
BaseRepresentation
bin100110010101110…
…000101100000000
31122211100220112221
4212111300230000
52304132114111
6143454500424
721640303234
oct4625605400
91584326487
10643238656
113001007a5
1215b504714
13a33575b8
14616005c4
153b70e371
hex26570b00

643238656 has 72 divisors (see below), whose sum is σ = 1382349024. Its totient is φ = 297615360.

The previous prime is 643238641. The next prime is 643238657. The reversal of 643238656 is 656832346.

It is not an unprimeable number, because it can be changed into a prime (643238657) 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, 264261 + ... + 266683.

It is an arithmetic number, because the mean of its divisors is an integer number (19199292).

Almost surely, 2643238656 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 643238656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691174512).

643238656 is an abundant number, since it is smaller than the sum of its proper divisors (739110368).

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

643238656 is a wasteful number, since it uses less digits than its factorization.

643238656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2503 counting only the distinct ones).

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

The square root of 643238656 is about 25362.1500665854. The cubic root of 643238656 is about 863.2250710568.

The spelling of 643238656 in words is "six hundred forty-three million, two hundred thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 61 64 68 122 128 136 244 256 272 488 544 976 1037 1088 1952 2074 2176 2423 3904 4148 4352 4846 7808 8296 9692 15616 16592 19384 33184 38768 41191 66368 77536 82382 132736 147803 155072 164764 265472 295606 310144 329528 591212 620288 659056 1182424 1318112 2364848 2512651 2636224 4729696 5025302 5272448 9459392 10050604 10544896 18918784 20101208 37837568 40202416 80404832 160809664 321619328 643238656