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54021829 is a prime number
BaseRepresentation
bin1100111000010…
…0111011000101
310202122121000111
43032010323011
5102312144304
65205513021
71224115021
oct316047305
9122577014
1054021829
1128548444
1216112771
13b265ba4
147263381
154b21704
hex3384ec5

54021829 has 2 divisors, whose sum is σ = 54021830. Its totient is φ = 54021828.

The previous prime is 54021823. The next prime is 54021833. The reversal of 54021829 is 92812045.

54021829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52056225 + 1965604 = 7215^2 + 1402^2 .

It is a cyclic number.

It is not a de Polignac number, because 54021829 - 217 = 53890757 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 54021829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54021823) 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, 27010914 + 27010915.

It is an arithmetic number, because the mean of its divisors is an integer number (27010915).

Almost surely, 254021829 is an apocalyptic number.

It is an amenable number.

54021829 is a deficient number, since it is larger than the sum of its proper divisors (1).

54021829 is an equidigital number, since it uses as much as digits as its factorization.

54021829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 54021829 is about 7349.9543535998. The cubic root of 54021829 is about 378.0272392490.

The spelling of 54021829 in words is "fifty-four million, twenty-one thousand, eight hundred twenty-nine".