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1368482049 = 32112192592
BaseRepresentation
bin101000110010001…
…0110000100000001
310112101001002110100
41101210112010001
510300312411144
6343443153013
745624622404
oct12144260401
93471032410
101368482049
11642521900
12322375769
1318a6948bc
14cda69d3b
158021b269
hex51916101

1368482049 has 81 divisors (see below), whose sum is σ = 2332630209. Its totient is φ = 772413840.

The previous prime is 1368482039. The next prime is 1368482053. The reversal of 1368482049 is 9402848631.

It is a happy number.

The square root of 1368482049 is 36993.

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

It is a de Polignac number, because none of the positive numbers 2k-1368482049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1368481995 and 1368482013.

It is not an unprimeable number, because it can be changed into a prime (1368482039) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 23194582 + ... + 23194640.

Almost surely, 21368482049 is an apocalyptic number.

1368482049 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1368482049 is the 36993-rd square number.

1368482049 is the 18497-th centered octagonal number.

It is an amenable number.

1368482049 is a deficient number, since it is larger than the sum of its proper divisors (964148160).

1368482049 is a wasteful number, since it uses less digits than its factorization.

1368482049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The cubic root of 1368482049 is about 1110.2301957446.

Multiplying 1368482049 by its product of nonzero digits (331776), we get a square (454029500289024 = 213079682).

The spelling of 1368482049 in words is "one billion, three hundred sixty-eight million, four hundred eighty-two thousand, forty-nine".

Divisors: 1 3 9 11 19 33 57 59 99 121 171 177 209 361 363 531 627 649 1083 1089 1121 1881 1947 2299 3249 3363 3481 3971 5841 6897 7139 10089 10443 11913 12331 20691 21299 21417 31329 35739 36993 38291 43681 63897 64251 66139 110979 114873 131043 135641 191691 198417 234289 344619 393129 406923 421201 595251 702867 727529 1220769 1256641 1263603 2108601 2182587 2577179 3769923 3790809 6547761 7731537 8002819 11309769 13823051 23194611 24008457 41469153 72025371 124407459 152053561 456160683 1368482049