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541161145 = 5723496329
BaseRepresentation
bin100000010000010…
…111011010111001
31101201021211112101
4200100113122321
52102014124040
6125410543401
716260536200
oct4020273271
91351254471
10541161145
11258520418
12131297b61
13881672c5
1451c2c237
153279909a
hex204176b9

541161145 has 24 divisors (see below), whose sum is σ = 757701000. Its totient is φ = 369960192.

The previous prime is 541161143. The next prime is 541161151.

541161145 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 163558521 + 377602624 = 12789^2 + 19432^2 .

It is not a de Polignac number, because 541161145 - 21 = 541161143 is a prime.

It is a super-2 number, since 2×5411611452 = 585710769715422050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (541161143) 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 23 ways as a sum of consecutive naturals, for example, 82341 + ... + 88669.

It is an arithmetic number, because the mean of its divisors is an integer number (31570875).

Almost surely, 2541161145 is an apocalyptic number.

It is an amenable number.

541161145 is a deficient number, since it is larger than the sum of its proper divisors (216539855).

541161145 is a wasteful number, since it uses less digits than its factorization.

541161145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6697 (or 6690 counting only the distinct ones).

The product of its digits is 2400, while the sum is 28.

The square root of 541161145 is about 23262.8705236478. The cubic root of 541161145 is about 814.9085398012.

The spelling of 541161145 in words is "five hundred forty-one million, one hundred sixty-one thousand, one hundred forty-five".

Divisors: 1 5 7 35 49 245 349 1745 2443 6329 12215 17101 31645 44303 85505 221515 310121 1550605 2208821 11044105 15461747 77308735 108232229 541161145