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54107629 is a prime number
BaseRepresentation
bin1100111001100…
…1110111101101
310202210221201021
43032121313231
5102322421004
65211414141
71224623122
oct316316755
9122727637
1054107629
11285a6954
1216154351
13b295c64
147286749
154b3bd54
hex3399ded

54107629 has 2 divisors, whose sum is σ = 54107630. Its totient is φ = 54107628.

The previous prime is 54107587. The next prime is 54107663. The reversal of 54107629 is 92670145.

It is an a-pointer prime, because the next prime (54107663) can be obtained adding 54107629 to its sum of digits (34).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28836900 + 25270729 = 5370^2 + 5027^2 .

It is a cyclic number.

It is not a de Polignac number, because 54107629 - 223 = 45719021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54107594 and 54107603.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54107689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27053814 + 27053815.

It is an arithmetic number, because the mean of its divisors is an integer number (27053815).

Almost surely, 254107629 is an apocalyptic number.

It is an amenable number.

54107629 is a deficient number, since it is larger than the sum of its proper divisors (1).

54107629 is an equidigital number, since it uses as much as digits as its factorization.

54107629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 54107629 is about 7355.7888088226. The cubic root of 54107629 is about 378.2272669132.

The spelling of 54107629 in words is "fifty-four million, one hundred seven thousand, six hundred twenty-nine".