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5288386005 = 32573794337
BaseRepresentation
bin1001110110011011…
…00101110111010101
3111122120000211210100
410323031211313111
541312311323010
62232432244313
7245023353000
oct47315456725
914576024710
105288386005
112274179751
1210370a0699
136638212b6
143824d0537
1520e41e2c0
hex13b365dd5

5288386005 has 96 divisors (see below), whose sum is σ = 10827648000. Its totient is φ = 2386395648.

The previous prime is 5288385983. The next prime is 5288386009. The reversal of 5288386005 is 5006838825.

It is a happy number.

5288386005 is a `hidden beast` number, since 5 + 2 + 8 + 8 + 38 + 600 + 5 = 666.

It is not a de Polignac number, because 5288386005 - 27 = 5288385877 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5288386009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1217197 + ... + 1221533.

It is an arithmetic number, because the mean of its divisors is an integer number (112788000).

Almost surely, 25288386005 is an apocalyptic number.

It is an amenable number.

5288386005 is an abundant number, since it is smaller than the sum of its proper divisors (5539261995).

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

5288386005 is a wasteful number, since it uses less digits than its factorization.

5288386005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4448 (or 4431 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 5288386005 is about 72721.2899019262. The cubic root of 5288386005 is about 1742.2389380733.

The spelling of 5288386005 in words is "five billion, two hundred eighty-eight million, three hundred eighty-six thousand, five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 79 105 147 237 245 315 343 395 441 553 711 735 1029 1185 1659 1715 2205 2765 3087 3555 3871 4337 4977 5145 8295 11613 13011 15435 19355 21685 24885 27097 30359 34839 39033 58065 65055 81291 91077 135485 151795 174195 195165 212513 243873 273231 342623 406455 455385 637539 1027869 1062565 1219365 1366155 1487591 1713115 1912617 2398361 3083607 3187695 4462773 5139345 7195083 7437955 9563085 11991805 13388319 15418035 16788527 21585249 22313865 35975415 50365581 66941595 83942635 107926245 117519689 151096743 251827905 352559067 587598445 755483715 1057677201 1762795335 5288386005