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948921553 is a prime number
BaseRepresentation
bin111000100011110…
…110010011010001
32110010120012122201
4320203312103101
53420410442203
6234054403201
732341462066
oct7043662321
92403505581
10948921553
11447706898
12225960501
13121794c58
1490052c6d
1558491e1d
hex388f64d1

948921553 has 2 divisors, whose sum is σ = 948921554. Its totient is φ = 948921552.

The previous prime is 948921509. The next prime is 948921559. The reversal of 948921553 is 355129849.

948921553 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., 809516304 + 139405249 = 28452^2 + 11807^2 .

It is a cyclic number.

It is not a de Polignac number, because 948921553 - 225 = 915367121 is a prime.

It is a super-2 number, since 2×9489215532 = 1800904227495863618, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (948921559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 474460776 + 474460777.

It is an arithmetic number, because the mean of its divisors is an integer number (474460777).

Almost surely, 2948921553 is an apocalyptic number.

It is an amenable number.

948921553 is a deficient number, since it is larger than the sum of its proper divisors (1).

948921553 is an equidigital number, since it uses as much as digits as its factorization.

948921553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 388800, while the sum is 46.

The square root of 948921553 is about 30804.5703264954. The cubic root of 948921553 is about 982.6754440258.

The spelling of 948921553 in words is "nine hundred forty-eight million, nine hundred twenty-one thousand, five hundred fifty-three".