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45000929 is a prime number
BaseRepresentation
bin1010101110101…
…0100011100001
310010200021200002
42223222203201
543010012204
64244305345
71054334021
oct253524341
9103607602
1045000929
1123446956
12130a2255
139427b8c
145d95a81
153e3d91e
hex2aea8e1

45000929 has 2 divisors, whose sum is σ = 45000930. Its totient is φ = 45000928.

The previous prime is 45000913. The next prime is 45000931. The reversal of 45000929 is 92900054.

45000929 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., 26061025 + 18939904 = 5105^2 + 4352^2 .

It is a cyclic number.

It is not a de Polignac number, because 45000929 - 24 = 45000913 is a prime.

It is a super-2 number, since 2×450009292 = 4050167221726082, which contains 22 as substring.

Together with 45000931, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (45000959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22500464 + 22500465.

It is an arithmetic number, because the mean of its divisors is an integer number (22500465).

Almost surely, 245000929 is an apocalyptic number.

It is an amenable number.

45000929 is a deficient number, since it is larger than the sum of its proper divisors (1).

45000929 is an equidigital number, since it uses as much as digits as its factorization.

45000929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 45000929 is about 6708.2731757137. The cubic root of 45000929 is about 355.6917781017.

The spelling of 45000929 in words is "forty-five million, nine hundred twenty-nine", and thus it is an aban number.