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4481097481 = 727321312
BaseRepresentation
bin1000010110001100…
…00001111100001001
3102120021222100010101
410023012001330021
533134130104411
62020353245401
7216021462100
oct41306017411
912507870111
104481097481
11199a50a953
12a50863861
135654b8a93
143071c9037
151b36078c1
hex10b181f09

4481097481 has 27 divisors (see below), whose sum is σ = 5325742503. Its totient is φ = 3759406560.

The previous prime is 4481097443. The next prime is 4481097497. The reversal of 4481097481 is 1847901844.

The square root of 4481097481 is 66941.

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., 2543689225 + 1937408256 = 50435^2 + 44016^2 .

It is not a de Polignac number, because 4481097481 - 213 = 4481089289 is a prime.

It is a super-2 number, since 2×44810974812 = 40160469268449090722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4481097421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34206786 + ... + 34206916.

Almost surely, 24481097481 is an apocalyptic number.

4481097481 is the 66941-st square number.

4481097481 is the 33471-st centered octagonal number.

It is an amenable number.

4481097481 is a deficient number, since it is larger than the sum of its proper divisors (844645022).

4481097481 is an frugal number, since it uses more digits than its factorization.

4481097481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The cubic root of 4481097481 is about 1648.6487229895.

The spelling of 4481097481 in words is "four billion, four hundred eighty-one million, ninety-seven thousand, four hundred eighty-one".

Divisors: 1 7 49 73 131 511 917 3577 5329 6419 9563 17161 37303 66941 120127 261121 468587 698099 840889 1252753 4886693 8769271 34206851 61384897 91450969 640156783 4481097481