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1468652329 = 19220172
BaseRepresentation
bin101011110001001…
…1101101100101001
310210100112021020201
41113202131230221
511001433333304
6401422152201
751252224134
oct12742355451
93710467221
101468652329
1169401a261
1234ba22661
131a5367a61
14dd0a321b
1588e063a4
hex5789db29

1468652329 has 9 divisors (see below), whose sum is σ = 1550786967. Its totient is φ = 1390665024.

The previous prime is 1468652303. The next prime is 1468652347. The reversal of 1468652329 is 9232568641.

The square root of 1468652329 is 38323.

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., 1242210025 + 226442304 = 35245^2 + 15048^2 .

It is not a de Polignac number, because 1468652329 - 27 = 1468652201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1468652369) 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 8 ways as a sum of consecutive naturals, for example, 727129 + ... + 729145.

It is an arithmetic number, because the mean of its divisors is an integer number (172309663).

Almost surely, 21468652329 is an apocalyptic number.

1468652329 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1468652329 is the 38323-rd square number.

1468652329 is the 19162-nd centered octagonal number.

It is an amenable number.

1468652329 is a deficient number, since it is larger than the sum of its proper divisors (82134638).

1468652329 is an frugal number, since it uses more digits than its factorization.

1468652329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072 (or 2036 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The cubic root of 1468652329 is about 1136.6837885621.

The spelling of 1468652329 in words is "one billion, four hundred sixty-eight million, six hundred fifty-two thousand, three hundred twenty-nine".

Divisors: 1 19 361 2017 38323 728137 4068289 77297491 1468652329