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828906511 is a prime number
BaseRepresentation
bin110001011010000…
…001110000001111
32010202201210222011
4301122001300033
53144200002021
6214130202051
726353406026
oct6132016017
92122653864
10828906511
11395994804
121b1723327
13102964234
147c1318bd
154cb86de1
hex31681c0f

828906511 has 2 divisors, whose sum is σ = 828906512. Its totient is φ = 828906510.

The previous prime is 828906503. The next prime is 828906539. The reversal of 828906511 is 115609828.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 828906511 - 23 = 828906503 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (828906541) 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, 414453255 + 414453256.

It is an arithmetic number, because the mean of its divisors is an integer number (414453256).

Almost surely, 2828906511 is an apocalyptic number.

828906511 is a deficient number, since it is larger than the sum of its proper divisors (1).

828906511 is an equidigital number, since it uses as much as digits as its factorization.

828906511 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 40.

The square root of 828906511 is about 28790.7365484108. The cubic root of 828906511 is about 939.3667498180.

It can be divided in two parts, 82890 and 6511, that added together give a square (89401 = 2992).

The spelling of 828906511 in words is "eight hundred twenty-eight million, nine hundred six thousand, five hundred eleven".