Search a number
-
+
2590650825 = 352721741467
BaseRepresentation
bin1001101001101010…
…0011000111001001
320200112202200211120
42122122203013021
520301201311300
61105022345453
7121125111600
oct23232430711
96615680746
102590650825
11110a39a344
1260372b289
1332394b6a9
141a80caa37
151026853a0
hex9a6a31c9

2590650825 has 72 divisors (see below), whose sum is σ = 5275724832. Its totient is φ = 1114606080.

The previous prime is 2590650781. The next prime is 2590650827. The reversal of 2590650825 is 5280560952.

It is not a de Polignac number, because 2590650825 - 214 = 2590634441 is a prime.

It is a super-2 number, since 2×25906508252 = 13422943394146361250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2590650827) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41742 + ... + 83208.

It is an arithmetic number, because the mean of its divisors is an integer number (73273956).

Almost surely, 22590650825 is an apocalyptic number.

2590650825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2590650825 is an abundant number, since it is smaller than the sum of its proper divisors (2685074007).

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

2590650825 is a wasteful number, since it uses less digits than its factorization.

2590650825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41511 (or 41499 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 2590650825 is about 50898.4363708749. The cubic root of 2590650825 is about 1373.4187133047.

The spelling of 2590650825 in words is "two billion, five hundred ninety million, six hundred fifty thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 49 51 75 85 105 119 147 175 245 255 357 425 525 595 735 833 1225 1275 1785 2499 2975 3675 4165 8925 12495 20825 41467 62475 124401 207335 290269 622005 704939 870807 1036675 1451345 2031883 2114817 3110025 3524695 4354035 4934573 6095649 7256725 10159415 10574085 14803719 17623475 21770175 24672865 30478245 34542011 50797075 52870425 74018595 103626033 123364325 152391225 172710055 370092975 518130165 863550275 2590650825