Search a number
-
+
2082066525 = 35527114451
BaseRepresentation
bin111110000011001…
…1101000001011101
312101002202221100000
41330012131001131
513231002112100
6542333524513
7102411162540
oct17406350135
95332687300
102082066525
119792aa440
124a1343739
1327247c236
1415a73c857
15c2bc3900
hex7c19d05d

2082066525 has 144 divisors (see below), whose sum is σ = 4822691328. Its totient is φ = 865080000.

The previous prime is 2082066521. The next prime is 2082066527. The reversal of 2082066525 is 5256602802.

It is not a de Polignac number, because 2082066525 - 22 = 2082066521 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2082066525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082066521) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 465550 + ... + 470000.

It is an arithmetic number, because the mean of its divisors is an integer number (33490912).

Almost surely, 22082066525 is an apocalyptic number.

2082066525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2082066525 is an abundant number, since it is smaller than the sum of its proper divisors (2740624803).

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

2082066525 is a wasteful number, since it uses less digits than its factorization.

2082066525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4494 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2082066525 is about 45629.6671585494. The cubic root of 2082066525 is about 1276.9234635878.

The spelling of 2082066525 in words is "two billion, eighty-two million, sixty-six thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 27 33 35 45 55 63 75 77 81 99 105 135 165 175 189 225 231 243 275 297 315 385 405 495 525 567 675 693 825 891 945 1155 1215 1485 1575 1701 1925 2025 2079 2475 2673 2835 3465 4451 4455 4725 5775 6075 6237 7425 8505 10395 13353 13365 14175 17325 18711 22255 22275 31157 31185 40059 42525 48961 51975 66765 66825 93471 93555 111275 120177 146883 155785 155925 200295 244805 280413 333825 342727 360531 440649 467355 467775 600885 734415 778925 841239 1001475 1028181 1081593 1224025 1321947 1402065 1713635 1802655 2203245 2336775 2523717 3004425 3084543 3672075 3965841 4206195 5140905 5407965 6609735 7010325 7571151 8568175 9013275 9253629 11016225 11897523 12618585 15422715 19829205 21030975 25704525 27039825 27760887 33048675 37855755 46268145 59487615 63092925 77113575 83282661 99146025 138804435 189278775 231340725 297438075 416413305 694022175 2082066525