Search a number
-
+
643248984 = 23379773919
BaseRepresentation
bin100110010101110…
…011001101011000
31122211101102201110
4212111303031120
52304132431414
6143455020320
721640345320
oct4625631530
91584342643
10643248984
11300108534
1215b50a6a0
13a335c201
1461604280
153b712459
hex26573358

643248984 has 64 divisors (see below), whose sum is σ = 1840204800. Its totient is φ = 183550464.

The previous prime is 643248973. The next prime is 643248989. The reversal of 643248984 is 489842346.

643248984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643248989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162177 + ... + 166095.

It is an arithmetic number, because the mean of its divisors is an integer number (28753200).

Almost surely, 2643248984 is an apocalyptic number.

It is an amenable number.

643248984 is an abundant number, since it is smaller than the sum of its proper divisors (1196955816).

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

643248984 is a wasteful number, since it uses less digits than its factorization.

643248984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4912 (or 4908 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 643248984 is about 25362.3536762659. The cubic root of 643248984 is about 863.2296910843.

The spelling of 643248984 in words is "six hundred forty-three million, two hundred forty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 977 1954 2931 3908 3919 5862 6839 7816 7838 11724 11757 13678 15676 20517 23448 23514 27356 27433 31352 41034 47028 54712 54866 82068 82299 94056 109732 164136 164598 219464 329196 658392 3828863 7657726 11486589 15315452 22973178 26802041 30630904 45946356 53604082 80406123 91892712 107208164 160812246 214416328 321624492 643248984