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54045013 = 1123171409
BaseRepresentation
bin1100111000101…
…0100101010101
310202200202211011
43032022211111
5102313420023
65210212221
71224242431
oct316124525
9122622734
1054045013
1128563900
1216124071
13b2735c9
14726b9c1
154b2850d
hex338a955

54045013 has 12 divisors (see below), whose sum is σ = 59634540. Its totient is φ = 48942080.

The previous prime is 54044981. The next prime is 54045029. The reversal of 54045013 is 31054045.

54045013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1656369 + 52388644 = 1287^2 + 7238^2 .

It is not a de Polignac number, because 54045013 - 25 = 54044981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54045083) 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 11 ways as a sum of consecutive naturals, for example, 37653 + ... + 39061.

It is an arithmetic number, because the mean of its divisors is an integer number (4969545).

Almost surely, 254045013 is an apocalyptic number.

It is an amenable number.

54045013 is a deficient number, since it is larger than the sum of its proper divisors (5589527).

54045013 is a wasteful number, since it uses less digits than its factorization.

54045013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 54045013 is about 7351.5313370753. The cubic root of 54045013 is about 378.0813095525.

Adding to 54045013 its reverse (31054045), we get a palindrome (85099058).

The spelling of 54045013 in words is "fifty-four million, forty-five thousand, thirteen".

Divisors: 1 11 121 317 1409 3487 15499 38357 170489 446653 4913183 54045013