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44013829 is a prime number
BaseRepresentation
bin1010011111100…
…1100100000101
310001211010121211
42213321210011
542231420304
64211211421
71043053126
oct247714405
9101733554
1044013829
1122932272
12128a6b71
1391707b2
145bba04d
153ce6204
hex29f9905

44013829 has 2 divisors, whose sum is σ = 44013830. Its totient is φ = 44013828.

The previous prime is 44013763. The next prime is 44013859. The reversal of 44013829 is 92831044.

44013829 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., 43256929 + 756900 = 6577^2 + 870^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-44013829 is a prime.

It is equal to p2662159 and since 44013829 and 2662159 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 44013829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (44013859) 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, 22006914 + 22006915.

It is an arithmetic number, because the mean of its divisors is an integer number (22006915).

Almost surely, 244013829 is an apocalyptic number.

It is an amenable number.

44013829 is a deficient number, since it is larger than the sum of its proper divisors (1).

44013829 is an equidigital number, since it uses as much as digits as its factorization.

44013829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 44013829 is about 6634.2918989143. The cubic root of 44013829 is about 353.0718154063.

The spelling of 44013829 in words is "forty-four million, thirteen thousand, eight hundred twenty-nine".