Search a number
-
+
54021761 is a prime number
BaseRepresentation
bin1100111000010…
…0111010000001
310202122120220222
43032010322001
5102312144021
65205512425
71224114563
oct316047201
9122576828
1054021761
1128548392
1216112715
13b265b51
147263333
154b216ab
hex3384e81

54021761 has 2 divisors, whose sum is σ = 54021762. Its totient is φ = 54021760.

The previous prime is 54021727. The next prime is 54021763. The reversal of 54021761 is 16712045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42250000 + 11771761 = 6500^2 + 3431^2 .

It is a cyclic number.

It is not a de Polignac number, because 54021761 - 210 = 54020737 is a prime.

It is a super-2 number, since 2×540217612 = 5836701323082242, which contains 22 as substring.

Together with 54021763, it forms a pair of twin primes.

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 54021761.

It is not a weakly prime, because it can be changed into another prime (54021763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27010880 + 27010881.

It is an arithmetic number, because the mean of its divisors is an integer number (27010881).

Almost surely, 254021761 is an apocalyptic number.

It is an amenable number.

54021761 is a deficient number, since it is larger than the sum of its proper divisors (1).

54021761 is an equidigital number, since it uses as much as digits as its factorization.

54021761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 54021761 is about 7349.9497277192. The cubic root of 54021761 is about 378.0270806350.

The spelling of 54021761 in words is "fifty-four million, twenty-one thousand, seven hundred sixty-one".