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993002849 is a prime number
BaseRepresentation
bin111011001100000…
…000010101100001
32120012111202211022
4323030000111201
54013202042344
6242311255225
733415246016
oct7314002541
92505452738
10993002849
1146a584813
1223867a515
1312a95a367
1495c4970d
155c29d0ee
hex3b300561

993002849 has 2 divisors, whose sum is σ = 993002850. Its totient is φ = 993002848.

The previous prime is 993002839. The next prime is 993002893. The reversal of 993002849 is 948200399.

It is an a-pointer prime, because the next prime (993002893) can be obtained adding 993002849 to its sum of digits (44).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 935136400 + 57866449 = 30580^2 + 7607^2 .

It is a cyclic number.

It is not a de Polignac number, because 993002849 - 212 = 992998753 is a prime.

It is a Sophie Germain prime.

993002849 is a modest number, since divided by 2849 gives 993 as remainder.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (993002809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 496501424 + 496501425.

It is an arithmetic number, because the mean of its divisors is an integer number (496501425).

Almost surely, 2993002849 is an apocalyptic number.

It is an amenable number.

993002849 is a deficient number, since it is larger than the sum of its proper divisors (1).

993002849 is an equidigital number, since it uses as much as digits as its factorization.

993002849 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 139968, while the sum is 44.

The square root of 993002849 is about 31511.9477182862. The cubic root of 993002849 is about 997.6621550736.

The spelling of 993002849 in words is "nine hundred ninety-three million, two thousand, eight hundred forty-nine".