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643200389 = 131710926701
BaseRepresentation
bin100110010101100…
…111010110000101
31122211021222001122
4212111213112011
52304124403024
6143454003325
721640053536
oct4625472605
91584258048
10643200389
11300084a77
1215b4a6545
13a3343060
14615d068d
153b702d5e
hex26567585

643200389 has 16 divisors (see below), whose sum is σ = 740179440. Its totient is φ = 553651200.

The previous prime is 643200379. The next prime is 643200401. The reversal of 643200389 is 983002346.

It is a happy number.

643200389 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 26522500 + 616677889 = 5150^2 + 24833^2 .

It is a cyclic number.

It is not a de Polignac number, because 643200389 - 212 = 643196293 is a prime.

It is a super-4 number, since 4×6432003894 (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643200329) 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, 10739 + ... + 37439.

It is an arithmetic number, because the mean of its divisors is an integer number (46261215).

Almost surely, 2643200389 is an apocalyptic number.

It is an amenable number.

643200389 is a deficient number, since it is larger than the sum of its proper divisors (96979051).

643200389 is a wasteful number, since it uses less digits than its factorization.

643200389 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26840.

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 643200389 is about 25361.3956437732. The cubic root of 643200389 is about 863.2079526366.

The spelling of 643200389 in words is "six hundred forty-three million, two hundred thousand, three hundred eighty-nine".

Divisors: 1 13 17 109 221 1417 1853 24089 26701 347113 453917 2910409 5900921 37835317 49476953 643200389