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4205033441 = 7285817009
BaseRepresentation
bin1111101010100011…
…1011011111100001
3101212001111211110022
43322220323133201
532102442032231
61533132243225
7206130123500
oct37250733741
911761454408
104205033441
1118686a4954
12994310515
1352024ba8b
142bc686837
15199275c7b
hexfaa3b7e1

4205033441 has 6 divisors (see below), whose sum is σ = 4891569570. Its totient is φ = 3604314336.

The previous prime is 4205033423. The next prime is 4205033467. The reversal of 4205033441 is 1443305024.

It can be written as a sum of positive squares in only one way, i.e., 3883907041 + 321126400 = 62321^2 + 17920^2 .

It is not a de Polignac number, because 4205033441 - 214 = 4205017057 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4205033441.

It is not an unprimeable number, because it can be changed into a prime (4205033141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42908456 + ... + 42908553.

It is an arithmetic number, because the mean of its divisors is an integer number (815261595).

Almost surely, 24205033441 is an apocalyptic number.

It is an amenable number.

4205033441 is a deficient number, since it is larger than the sum of its proper divisors (686536129).

4205033441 is an equidigital number, since it uses as much as digits as its factorization.

4205033441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85817023 (or 85817016 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 4205033441 is about 64846.2291964614. The cubic root of 4205033441 is about 1614.0729202979.

Adding to 4205033441 its reverse (1443305024), we get a palindrome (5648338465).

The spelling of 4205033441 in words is "four billion, two hundred five million, thirty-three thousand, four hundred forty-one".

Divisors: 1 7 49 85817009 600719063 4205033441