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54205729 is a prime number
BaseRepresentation
bin1100111011000…
…1110100100001
310202222221021121
43032301310201
5102334040404
65213452241
71225512124
oct316616441
9122887247
1054205729
1128663626
12161a1081
13b2cb7c6
1472b03bb
154b5ae54
hex33b1d21

54205729 has 2 divisors, whose sum is σ = 54205730. Its totient is φ = 54205728.

The previous prime is 54205693. The next prime is 54205793. The reversal of 54205729 is 92750245.

54205729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34492129 + 19713600 = 5873^2 + 4440^2 .

It is a cyclic number.

It is not a de Polignac number, because 54205729 - 225 = 20651297 is a prime.

It is a super-2 number, since 2×542057292 = 5876522112842882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54205694 and 54205703.

It is not a weakly prime, because it can be changed into another prime (54205799) 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 as a sum of consecutive naturals, namely, 27102864 + 27102865.

It is an arithmetic number, because the mean of its divisors is an integer number (27102865).

Almost surely, 254205729 is an apocalyptic number.

It is an amenable number.

54205729 is a deficient number, since it is larger than the sum of its proper divisors (1).

54205729 is an equidigital number, since it uses as much as digits as its factorization.

54205729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 54205729 is about 7362.4540066475. The cubic root of 54205729 is about 378.4557109375.

The spelling of 54205729 in words is "fifty-four million, two hundred five thousand, seven hundred twenty-nine".