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2530639314 = 233727724169
BaseRepresentation
bin1001011011010110…
…0111110111010010
320112100211210112000
42112311213313102
520140320424224
61055040214430
7116466036120
oct22665476722
96470753460
102530639314
111089530855
125a760a416
13314399418
141a0148910
15ec27e0c9
hex96d67dd2

2530639314 has 64 divisors (see below), whose sum is σ = 6450489600. Its totient is φ = 720399744.

The previous prime is 2530639313. The next prime is 2530639333. The reversal of 2530639314 is 4139360352.

It is a happy number.

2530639314 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 639 + 3 + 14 = 666.

It is not an unprimeable number, because it can be changed into a prime (2530639313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92622 + ... + 116790.

It is an arithmetic number, because the mean of its divisors is an integer number (100788900).

Almost surely, 22530639314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2530639314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225244800).

2530639314 is an abundant number, since it is smaller than the sum of its proper divisors (3919850286).

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

2530639314 is a wasteful number, since it uses less digits than its factorization.

2530639314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24464 (or 24458 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 2530639314 is about 50305.4600813868. The cubic root of 2530639314 is about 1362.7308367862.

Adding to 2530639314 its reverse (4139360352), we get a palindrome (6669999666).

It can be divided in two parts, 25306 and 39314, that added together give a triangular number (64620 = T359).

The spelling of 2530639314 in words is "two billion, five hundred thirty million, six hundred thirty-nine thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 277 378 554 831 1662 1939 2493 3878 4986 5817 7479 11634 14958 17451 24169 34902 48338 52353 72507 104706 145014 169183 217521 338366 435042 507549 652563 1015098 1305126 1522647 3045294 4567941 6694813 9135882 13389626 20084439 40168878 46863691 60253317 93727382 120506634 140591073 180759951 281182146 361519902 421773219 843546438 1265319657 2530639314