Search a number
-
+
5208255585 = 3351319236791
BaseRepresentation
bin1001101100110111…
…11010110001100001
3111102222020210112000
410312123322301201
541131303134320
62220450554213
7243031304421
oct46633726141
914388223460
105208255585
112232a19565
121014298969
13650046750
143759d2481
15207391c90
hex1366fac61

5208255585 has 128 divisors (see below), whose sum is σ = 10954137600. Its totient is φ = 2323157760.

The previous prime is 5208255583. The next prime is 5208255601. The reversal of 5208255585 is 5855528025.

5208255585 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5208255585 - 21 = 5208255583 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5208255585.

It is not an unprimeable number, because it can be changed into a prime (5208255583) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 763540 + ... + 770330.

It is an arithmetic number, because the mean of its divisors is an integer number (85579200).

Almost surely, 25208255585 is an apocalyptic number.

It is an amenable number.

5208255585 is an abundant number, since it is smaller than the sum of its proper divisors (5745882015).

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

5208255585 is a wasteful number, since it uses less digits than its factorization.

5208255585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6860 (or 6854 counting only the distinct ones).

The product of its (nonzero) digits is 800000, while the sum is 45.

The square root of 5208255585 is about 72168.2449904388. The cubic root of 5208255585 is about 1733.3945606043.

The spelling of 5208255585 in words is "five billion, two hundred eight million, two hundred fifty-five thousand, five hundred eighty-five".

Divisors: 1 3 5 9 13 15 19 23 27 39 45 57 65 69 95 115 117 135 171 195 207 247 285 299 345 351 437 513 585 621 741 855 897 1035 1235 1311 1495 1755 2185 2223 2565 2691 3105 3705 3933 4485 5681 6555 6669 6791 8073 11115 11799 13455 17043 19665 20373 28405 33345 33955 40365 51129 58995 61119 85215 88283 101865 129029 153387 156193 183357 255645 264849 305595 387087 441415 468579 645145 766935 780965 794547 916785 1161261 1324245 1405737 1677377 1935435 2030509 2342895 2383641 2967667 3483783 3972735 4217211 5032131 5806305 6091527 7028685 8386885 8903001 10152545 11918205 14838335 15096393 17418915 18274581 21086055 25160655 26709003 30457635 38579671 44515005 45289179 54823743 75481965 80127009 91372905 115739013 133545015 192898355 226445895 274118715 347217039 400635045 578695065 1041651117 1736085195 5208255585