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54964409 is a prime number
BaseRepresentation
bin1101000110101…
…1000010111001
310211102110222212
43101223002321
5103032330114
65242024505
71235122043
oct321530271
9124373885
1054964409
1129031635
12164a8135
13b505c26
14742aa93
154c5ab3e
hex346b0b9

54964409 has 2 divisors, whose sum is σ = 54964410. Its totient is φ = 54964408.

The previous prime is 54964391. The next prime is 54964421. The reversal of 54964409 is 90446945.

54964409 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., 54804409 + 160000 = 7403^2 + 400^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54964409 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (54964439) 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, 27482204 + 27482205.

It is an arithmetic number, because the mean of its divisors is an integer number (27482205).

Almost surely, 254964409 is an apocalyptic number.

It is an amenable number.

54964409 is a deficient number, since it is larger than the sum of its proper divisors (1).

54964409 is an equidigital number, since it uses as much as digits as its factorization.

54964409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 54964409 is about 7413.7985540477. The cubic root of 54964409 is about 380.2131975385.

The spelling of 54964409 in words is "fifty-four million, nine hundred sixty-four thousand, four hundred nine".