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54516461 is a prime number
BaseRepresentation
bin1100111111110…
…1101011101101
310210120201112012
43033331223231
5102424011321
65224251005
71231245056
oct317755355
9123521465
1054516461
112885602a
1216310a65
13b3aa07c
14735172d
154bbd05b
hex33fdaed

54516461 has 2 divisors, whose sum is σ = 54516462. Its totient is φ = 54516460.

The previous prime is 54516443. The next prime is 54516479. The reversal of 54516461 is 16461545.

It is a balanced prime because it is at equal distance from previous prime (54516443) and next prime (54516479).

It can be written as a sum of positive squares in only one way, i.e., 52113961 + 2402500 = 7219^2 + 1550^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54516461 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54516361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27258230 + 27258231.

It is an arithmetic number, because the mean of its divisors is an integer number (27258231).

Almost surely, 254516461 is an apocalyptic number.

It is an amenable number.

54516461 is a deficient number, since it is larger than the sum of its proper divisors (1).

54516461 is an equidigital number, since it uses as much as digits as its factorization.

54516461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14400, while the sum is 32.

The square root of 54516461 is about 7383.5263255439. The cubic root of 54516461 is about 379.1774938314.

The spelling of 54516461 in words is "fifty-four million, five hundred sixteen thousand, four hundred sixty-one".