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978949001 is a prime number
BaseRepresentation
bin111010010110011…
…001001110001001
32112020001202120102
4322112121032021
54001102332001
6241050135145
733154633502
oct7226311611
92466052512
10978949001
11462655968
12233a214b5
13127a79584
149402bba9
155ae23e6b
hex3a599389

978949001 has 2 divisors, whose sum is σ = 978949002. Its totient is φ = 978949000.

The previous prime is 978948991. The next prime is 978949021. The reversal of 978949001 is 100949879.

978949001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 670033225 + 308915776 = 25885^2 + 17576^2 .

It is a cyclic number.

It is not a de Polignac number, because 978949001 - 26 = 978948937 is a prime.

It is a super-2 number, since 2×9789490012 = 1916682293117796002, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (978949021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 489474500 + 489474501.

It is an arithmetic number, because the mean of its divisors is an integer number (489474501).

Almost surely, 2978949001 is an apocalyptic number.

It is an amenable number.

978949001 is a deficient number, since it is larger than the sum of its proper divisors (1).

978949001 is an equidigital number, since it uses as much as digits as its factorization.

978949001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 163296, while the sum is 47.

The square root of 978949001 is about 31288.1607161559. The cubic root of 978949001 is about 992.9331779991.

The spelling of 978949001 in words is "nine hundred seventy-eight million, nine hundred forty-nine thousand, one".