Search a number
-
+
643742848 = 277718463
BaseRepresentation
bin100110010111101…
…011110010000000
31122212022112011201
4212113223302000
52304244232343
6143513350544
721644503210
oct4627536200
91585275151
10643742848
11300415591
1215b708454
13a34a2c38
14616d2240
153b7ad94d
hex265ebc80

643742848 has 32 divisors (see below), whose sum is σ = 1465666560. Its totient is φ = 275889408.

The previous prime is 643742831. The next prime is 643742849. The reversal of 643742848 is 848247346.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×6437428482 = 828809708702302208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 643742798 and 643742807.

It is not an unprimeable number, because it can be changed into a prime (643742849) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 358336 + ... + 360127.

It is an arithmetic number, because the mean of its divisors is an integer number (45802080).

Almost surely, 2643742848 is an apocalyptic number.

It is an amenable number.

643742848 is an abundant number, since it is smaller than the sum of its proper divisors (821923712).

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

643742848 is an equidigital number, since it uses as much as digits as its factorization.

643742848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718484 (or 718472 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 46.

The square root of 643742848 is about 25372.0879708391. The cubic root of 643742848 is about 863.4505537265.

The spelling of 643742848 in words is "six hundred forty-three million, seven hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 718463 1436926 2873852 5029241 5747704 10058482 11495408 20116964 22990816 40233928 45981632 80467856 91963264 160935712 321871424 643742848