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2829067949 is a prime number
BaseRepresentation
bin1010100010100000…
…0010011010101101
321022011101112122102
42220220002122231
521243220133244
61144420424445
7130051452341
oct25050023255
97264345572
102829067949
111221a31694
1266b548125
13361166c06
141cba2d621
1511857c54e
hexa8a026ad

2829067949 has 2 divisors, whose sum is σ = 2829067950. Its totient is φ = 2829067948.

The previous prime is 2829067939. The next prime is 2829067961. The reversal of 2829067949 is 9497609282.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2741046025 + 88021924 = 52355^2 + 9382^2 .

It is a cyclic number.

It is not a de Polignac number, because 2829067949 - 216 = 2829002413 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2829067894 and 2829067903.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2829067939) 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, 1414533974 + 1414533975.

It is an arithmetic number, because the mean of its divisors is an integer number (1414533975).

Almost surely, 22829067949 is an apocalyptic number.

It is an amenable number.

2829067949 is a deficient number, since it is larger than the sum of its proper divisors (1).

2829067949 is an equidigital number, since it uses as much as digits as its factorization.

2829067949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3919104, while the sum is 56.

The square root of 2829067949 is about 53188.9833424178. The cubic root of 2829067949 is about 1414.3203583504.

The spelling of 2829067949 in words is "two billion, eight hundred twenty-nine million, sixty-seven thousand, nine hundred forty-nine".