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1043742249 = 32114892
BaseRepresentation
bin111110001101100…
…011111000101001
32200201222121012100
4332031203320221
54114144222444
6251323004013
734602443214
oct7615437051
92621877170
101043742249
11496190000
12251669609
13138314184
149c89677b
1561971e69
hex3e363e29

1043742249 has 45 divisors (see below), whose sum is σ = 1677223015. Its totient is φ = 625463520.

The previous prime is 1043742221. The next prime is 1043742283. The reversal of 1043742249 is 9422473401.

The square root of 1043742249 is 32307.

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., 200420649 + 843321600 = 14157^2 + 29040^2 .

It is not a de Polignac number, because 1043742249 - 215 = 1043709481 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1043742299) 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 44 ways as a sum of consecutive naturals, for example, 11727397 + ... + 11727485.

Almost surely, 21043742249 is an apocalyptic number.

1043742249 is the 32307-th square number.

1043742249 is the 16154-th centered octagonal number.

It is an amenable number.

1043742249 is a deficient number, since it is larger than the sum of its proper divisors (633480766).

1043742249 is an frugal number, since it uses more digits than its factorization.

1043742249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The cubic root of 1043742249 is about 1014.3731718231.

Multiplying 1043742249 by its sum of digits (36), we get a square (37574720964 = 1938422).

The spelling of 1043742249 in words is "one billion, forty-three million, seven hundred forty-two thousand, two hundred forty-nine".

Divisors: 1 3 9 11 33 89 99 121 267 363 801 979 1089 1331 2937 3993 7921 8811 10769 11979 14641 23763 32307 43923 71289 87131 96921 118459 131769 261393 355377 784179 958441 1066131 1303049 2875323 3909147 8625969 10542851 11727441 31628553 94885659 115971361 347914083 1043742249