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926828641 is a prime number
BaseRepresentation
bin110111001111100…
…100100001100001
32101120222202212201
4313033210201201
53344232004031
6231545053201
731652625214
oct6717444141
92346882781
10926828641
11436197092
1221a487201
1311a02b01b
148b14177b
155657ad61
hex373e4861

926828641 has 2 divisors, whose sum is σ = 926828642. Its totient is φ = 926828640.

The previous prime is 926828563. The next prime is 926828647. The reversal of 926828641 is 146828629.

926828641 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., 584430625 + 342398016 = 24175^2 + 18504^2 .

It is an emirp because it is prime and its reverse (146828629) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 926828641 - 213 = 926820449 is a prime.

It is a super-2 number, since 2×9268286412 = 1718022659555813762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 926828591 and 926828600.

It is not a weakly prime, because it can be changed into another prime (926828647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 463414320 + 463414321.

It is an arithmetic number, because the mean of its divisors is an integer number (463414321).

Almost surely, 2926828641 is an apocalyptic number.

It is an amenable number.

926828641 is a deficient number, since it is larger than the sum of its proper divisors (1).

926828641 is an equidigital number, since it uses as much as digits as its factorization.

926828641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 331776, while the sum is 46.

The square root of 926828641 is about 30443.8604812202. The cubic root of 926828641 is about 974.9892231112.

The spelling of 926828641 in words is "nine hundred twenty-six million, eight hundred twenty-eight thousand, six hundred forty-one".