Search a number
-
+
2984983225 = 52742232
BaseRepresentation
bin1011000111101011…
…0011101010111001
321201000202212012021
42301322303222321
522103123430400
61212110314441
7133653640000
oct26172635271
97630685167
102984983225
1112a1a44094
126b37b8a21
13387557383
14204617c37
151270c971a
hexb1eb3ab9

2984983225 has 45 divisors (see below), whose sum is σ = 4337468943. Its totient is φ = 2037666960.

The previous prime is 2984983187. The next prime is 2984983249. The reversal of 2984983225 is 5223894892.

The square root of 2984983225 is 54635.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1074593961 + 1910389264 = 32781^2 + 43708^2 .

It is not a de Polignac number, because 2984983225 - 29 = 2984982713 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13385464 + ... + 13385686.

Almost surely, 22984983225 is an apocalyptic number.

2984983225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2984983225 is the 54635-th square number.

2984983225 is the 27318-th centered octagonal number.

It is an amenable number.

2984983225 is a deficient number, since it is larger than the sum of its proper divisors (1352485718).

2984983225 is an frugal number, since it uses more digits than its factorization.

2984983225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 235 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 52.

The cubic root of 2984983225 is about 1439.8391064129.

The spelling of 2984983225 in words is "two billion, nine hundred eighty-four million, nine hundred eighty-three thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 223 245 343 1115 1225 1561 1715 2401 5575 7805 8575 10927 12005 39025 49729 54635 60025 76489 248645 273175 348103 382445 535423 1243225 1740515 1912225 2436721 2677115 8702575 12183605 13385575 17057047 60918025 85285235 119399329 426426175 596996645 2984983225