Search a number
-
+
2098097092 = 2272131748437
BaseRepresentation
bin111110100001110…
…0110101111000100
312102012221101010201
41331003212233010
513244103101332
6544105300244
7102664350100
oct17503465704
95365841121
102098097092
11987359443
124a6794684
132758a2990
1415c912900
15c42dd5e7
hex7d0e6bc4

2098097092 has 72 divisors (see below), whose sum is σ = 4870344024. Its totient is φ = 781175808.

The previous prime is 2098097087. The next prime is 2098097093. The reversal of 2098097092 is 2907908902.

It can be written as a sum of positive squares in 4 ways, for example, as 179131456 + 1918965636 = 13384^2 + 43806^2 .

It is a super-2 number, since 2×20980970922 = 8804022814917712928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2098097093) 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 23 ways as a sum of consecutive naturals, for example, 19098 + ... + 67534.

It is an arithmetic number, because the mean of its divisors is an integer number (67643667).

Almost surely, 22098097092 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 2098097092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435172012).

2098097092 is an abundant number, since it is smaller than the sum of its proper divisors (2772246932).

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

2098097092 is a wasteful number, since it uses less digits than its factorization.

2098097092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48485 (or 48476 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

The square root of 2098097092 is about 45804.9898155212. The cubic root of 2098097092 is about 1280.1922505830.

The spelling of 2098097092 in words is "two billion, ninety-eight million, ninety-seven thousand, ninety-two".

Divisors: 1 2 4 7 13 14 17 26 28 34 49 52 68 91 98 119 182 196 221 238 364 442 476 637 833 884 1274 1547 1666 2548 3094 3332 6188 10829 21658 43316 48437 96874 193748 339059 629681 678118 823429 1259362 1356236 1646858 2373413 2518724 3293716 4407767 4746826 5764003 8815534 9493652 10704577 11528006 17631068 21409154 23056012 30854369 40348021 42818308 61708738 74932039 80696042 123417476 149864078 161392084 299728156 524524273 1049048546 2098097092