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643293657 = 36882433
BaseRepresentation
bin100110010101111…
…110000111011001
31122211110201000000
4212111332013121
52304140344112
6143500003213
721640622466
oct4625760731
91584421000
10643293657
11300139056
1215b530509
13a3376646
146161666d
153b7207dc
hex2657e1d9

643293657 has 14 divisors (see below), whose sum is σ = 964500362. Its totient is φ = 428861952.

The previous prime is 643293619. The next prime is 643293667. The reversal of 643293657 is 756392346.

It can be written as a sum of positive squares in only one way, i.e., 626450841 + 16842816 = 25029^2 + 4104^2 .

It is not a de Polignac number, because 643293657 - 211 = 643291609 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643293667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 440488 + ... + 441945.

It is an arithmetic number, because the mean of its divisors is an integer number (68892883).

Almost surely, 2643293657 is an apocalyptic number.

It is an amenable number.

643293657 is a deficient number, since it is larger than the sum of its proper divisors (321206705).

643293657 is an frugal number, since it uses more digits than its factorization.

643293657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882451 (or 882436 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 643293657 is about 25363.2343560517. The cubic root of 643293657 is about 863.2496741019.

The spelling of 643293657 in words is "six hundred forty-three million, two hundred ninety-three thousand, six hundred fifty-seven".

Divisors: 1 3 9 27 81 243 729 882433 2647299 7941897 23825691 71477073 214431219 643293657