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640039077 = 342953297
BaseRepresentation
bin100110001001100…
…011100010100101
31122121100100120000
4212021203202211
52302322222302
6143302131513
721601146066
oct4611434245
91577310500
10640039077
112a9315917
1215a420b99
13a27a7162
146100a56d
153b2cb31c
hex262638a5

640039077 has 60 divisors (see below), whose sum is σ = 1018483620. Its totient is φ = 400038912.

The previous prime is 640039027. The next prime is 640039079. The reversal of 640039077 is 770930046.

640039077 is a `hidden beast` number, since 640 + 0 + 3 + 9 + 0 + 7 + 7 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 29257281 + 610781796 = 5409^2 + 24714^2 .

It is not a de Polignac number, because 640039077 - 28 = 640038821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640039079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6598293 + ... + 6598389.

It is an arithmetic number, because the mean of its divisors is an integer number (16974727).

Almost surely, 2640039077 is an apocalyptic number.

It is an amenable number.

640039077 is a deficient number, since it is larger than the sum of its proper divisors (378444543).

640039077 is an equidigital number, since it uses as much as digits as its factorization.

640039077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 640039077 is about 25298.9935965840. The cubic root of 640039077 is about 861.7914149984.

The spelling of 640039077 in words is "six hundred forty million, thirty-nine thousand, seventy-seven".

Divisors: 1 3 9 27 29 53 81 87 97 159 261 291 477 783 873 1431 1537 2349 2619 2809 2813 4293 4611 5141 7857 8427 8439 13833 15423 25281 25317 41499 46269 75843 75951 81461 124497 138807 149089 227529 227853 244383 272473 416421 447267 733149 817419 1341801 2199447 2452257 4025403 6598341 7356771 7901717 12076209 22070313 23705151 71115453 213346359 640039077