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5440390081 = 724122572
BaseRepresentation
bin1010001000100010…
…11100001111000001
3112001011001110011221
411010101130033001
542120214440311
62255502235041
7251550360400
oct50421341701
915034043157
105440390081
112341a5a655
121079b85a81
13689172439
1439877b637
1521c947671
hex14445c3c1

5440390081 has 27 divisors (see below), whose sum is σ = 6512076777. Its totient is φ = 4531752960.

The previous prime is 5440390073. The next prime is 5440390091. The reversal of 5440390081 is 1800930445.

The square root of 5440390081 is 73759.

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

It can be written as a sum of positive squares in 4 ways, for example, as 50481025 + 5389909056 = 7105^2 + 73416^2 .

It is not a de Polignac number, because 5440390081 - 23 = 5440390073 is a prime.

It is a super-2 number, since 2×54403900812 = 59195688466886373122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5440390091) 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, 21168705 + ... + 21168961.

Almost surely, 25440390081 is an apocalyptic number.

5440390081 is the 73759-th square number.

5440390081 is the 36880-th centered octagonal number.

It is an amenable number.

5440390081 is a deficient number, since it is larger than the sum of its proper divisors (1071686696).

5440390081 is an frugal number, since it uses more digits than its factorization.

5440390081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The cubic root of 5440390081 is about 1758.7739051065.

The spelling of 5440390081 in words is "five billion, four hundred forty million, three hundred ninety thousand, eighty-one".

Divisors: 1 7 41 49 257 287 1681 1799 2009 10537 11767 12593 66049 73759 82369 432017 462343 516313 2708009 3024119 3236401 18956063 21168833 111028369 132692441 777198583 5440390081