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51031829 is a prime number
BaseRepresentation
bin1100001010101…
…0111100010101
310120000200111202
43002222330111
5101031004304
65021442245
71156522562
oct302527425
9116020452
1051031829
1126895a72
1215110385
13a759c64
146ac5869
15473081e
hex30aaf15

51031829 has 2 divisors, whose sum is σ = 51031830. Its totient is φ = 51031828.

The previous prime is 51031811. The next prime is 51031847. The reversal of 51031829 is 92813015.

51031829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (51031811) and next prime (51031847).

It can be written as a sum of positive squares in only one way, i.e., 38464804 + 12567025 = 6202^2 + 3545^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-51031829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51031879) 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, 25515914 + 25515915.

It is an arithmetic number, because the mean of its divisors is an integer number (25515915).

Almost surely, 251031829 is an apocalyptic number.

It is an amenable number.

51031829 is a deficient number, since it is larger than the sum of its proper divisors (1).

51031829 is an equidigital number, since it uses as much as digits as its factorization.

51031829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 51031829 is about 7143.6565566942. The cubic root of 51031829 is about 370.9201083412.

The spelling of 51031829 in words is "fifty-one million, thirty-one thousand, eight hundred twenty-nine".