Search a number
-
+
2090004828 = 2232918133181
BaseRepresentation
bin111110010010010…
…1111000101011100
312101122201020122020
41330210233011130
513240020123303
6543220020140
7102535514352
oct17444570534
95348636566
102090004828
1198283161a
124a3b31650
13273ccb562
1415b8077d2
15c3740a53
hex7c92f15c

2090004828 has 48 divisors (see below), whose sum is σ = 5072864160. Its totient is φ = 668908800.

The previous prime is 2090004821. The next prime is 2090004859. The reversal of 2090004828 is 8284000902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2090004821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46398 + ... + 79578.

It is an arithmetic number, because the mean of its divisors is an integer number (105684670).

Almost surely, 22090004828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2090004828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536432080).

2090004828 is an abundant number, since it is smaller than the sum of its proper divisors (2982859332).

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

2090004828 is a wasteful number, since it uses less digits than its factorization.

2090004828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33398 (or 33396 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 2090004828 is about 45716.5706062911. The cubic root of 2090004828 is about 1278.5442491285.

The spelling of 2090004828 in words is "two billion, ninety million, four thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 181 348 362 543 724 1086 2172 5249 10498 15747 20996 31494 33181 62988 66362 99543 132724 199086 398172 962249 1924498 2886747 3848996 5773494 6005761 11546988 12011522 18017283 24023044 36034566 72069132 174167069 348334138 522501207 696668276 1045002414 2090004828