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42054461 is a prime number
BaseRepresentation
bin1010000001101…
…1001100111101
32221010120212122
42200123030331
541231220321
64101212325
71020312521
oct240331475
987116778
1042054461
1121814159
12121010a5
1389359c7
145829d81
153a5a8ab
hex281b33d

42054461 has 2 divisors, whose sum is σ = 42054462. Its totient is φ = 42054460.

The previous prime is 42054451. The next prime is 42054487. The reversal of 42054461 is 16445024.

42054461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (42054487) can be obtained adding 42054461 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21215236 + 20839225 = 4606^2 + 4565^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42054461 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42054461.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42054421) 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, 21027230 + 21027231.

It is an arithmetic number, because the mean of its divisors is an integer number (21027231).

Almost surely, 242054461 is an apocalyptic number.

It is an amenable number.

42054461 is a deficient number, since it is larger than the sum of its proper divisors (1).

42054461 is an equidigital number, since it uses as much as digits as its factorization.

42054461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 42054461 is about 6484.9410945667. The cubic root of 42054461 is about 347.7528439501.

Adding to 42054461 its reverse (16445024), we get a palindrome (58499485).

The spelling of 42054461 in words is "forty-two million, fifty-four thousand, four hundred sixty-one".