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54784801 is a prime number
BaseRepresentation
bin1101000011111…
…1001100100001
310211002100121201
43100333030201
5103011103201
65234121201
71233443311
oct320771441
9124070551
1054784801
1128a196a5
1216420201
13b472256
1473c1441
154c22801
hex343f321

54784801 has 2 divisors, whose sum is σ = 54784802. Its totient is φ = 54784800.

The previous prime is 54784757. The next prime is 54784811. The reversal of 54784801 is 10848745.

54784801 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., 54774801 + 10000 = 7401^2 + 100^2 .

It is a cyclic number.

It is not a de Polignac number, because 54784801 - 211 = 54782753 is a prime.

It is not a weakly prime, because it can be changed into another prime (54784811) 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, 27392400 + 27392401.

It is an arithmetic number, because the mean of its divisors is an integer number (27392401).

Almost surely, 254784801 is an apocalyptic number.

It is an amenable number.

54784801 is a deficient number, since it is larger than the sum of its proper divisors (1).

54784801 is an equidigital number, since it uses as much as digits as its factorization.

54784801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35840, while the sum is 37.

The square root of 54784801 is about 7401.6755535487. The cubic root of 54784801 is about 379.7986028829.

The spelling of 54784801 in words is "fifty-four million, seven hundred eighty-four thousand, eight hundred one".