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1848742009 = 192312732
BaseRepresentation
bin110111000110001…
…1001000001111001
311202211201211021021
41232030121001321
512241234221014
6503240542441
763546022252
oct15614310171
94684654237
101848742009
11869626264
12437181a21
132360279aa
14137763b29
15ac485624
hex6e319079

1848742009 has 27 divisors (see below), whose sum is σ = 2044133199. Its totient is φ = 1671723360.

The previous prime is 1848741997. The next prime is 1848742019. The reversal of 1848742009 is 9002478481.

The square root of 1848742009 is 42997.

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., 1049436025 + 799305984 = 32395^2 + 28272^2 .

It is not a de Polignac number, because 1848742009 - 25 = 1848741977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1848742019) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25325197 + ... + 25325269.

It is an arithmetic number, because the mean of its divisors is an integer number (75708637).

Almost surely, 21848742009 is an apocalyptic number.

1848742009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1848742009 is the 42997-th square number.

1848742009 is the 21499-th centered octagonal number.

It is an amenable number.

1848742009 is a deficient number, since it is larger than the sum of its proper divisors (195391190).

1848742009 is an frugal number, since it uses more digits than its factorization.

1848742009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The cubic root of 1848742009 is about 1227.3227088559.

The spelling of 1848742009 in words is "one billion, eight hundred forty-eight million, seven hundred forty-two thousand, nine".

Divisors: 1 19 31 73 361 589 961 1387 2263 5329 11191 18259 26353 42997 70153 101251 165199 346921 816943 1332907 1923769 3138781 5121169 25325233 59636839 97302211 1848742009