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53642461 is a prime number
BaseRepresentation
bin1100110010100…
…0010011011101
310201221022121211
43030220103131
5102213024321
65153424421
71220645005
oct314502335
9121838554
1053642461
1128309414
1215b6b111
13b162302
1471a5005
154a990e1
hex33284dd

53642461 has 2 divisors, whose sum is σ = 53642462. Its totient is φ = 53642460.

The previous prime is 53642443. The next prime is 53642467. The reversal of 53642461 is 16424635.

53642461 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., 44756100 + 8886361 = 6690^2 + 2981^2 .

It is a cyclic number.

It is not a de Polignac number, because 53642461 - 27 = 53642333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (53642467) 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, 26821230 + 26821231.

It is an arithmetic number, because the mean of its divisors is an integer number (26821231).

Almost surely, 253642461 is an apocalyptic number.

It is an amenable number.

53642461 is a deficient number, since it is larger than the sum of its proper divisors (1).

53642461 is an equidigital number, since it uses as much as digits as its factorization.

53642461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17280, while the sum is 31.

The square root of 53642461 is about 7324.1013783262. The cubic root of 53642461 is about 377.1402616560.

The spelling of 53642461 in words is "fifty-three million, six hundred forty-two thousand, four hundred sixty-one".