Search a number
-
+
1026948305 = 57389101313
BaseRepresentation
bin111101001101011…
…111110011010001
32122120101101020102
4331031133303101
54100344321210
6245523022145
734306626245
oct7515376321
92576341212
101026948305
1148775a509
12247b0a955
131349b4126
149a564425
1560255ea5
hex3d35fcd1

1026948305 has 32 divisors (see below), whose sum is σ = 1279838880. Its totient is φ = 790732800.

The previous prime is 1026948287. The next prime is 1026948311. The reversal of 1026948305 is 5038496201.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 381381841 + 645566464 = 19529^2 + 25408^2 .

It is not a de Polignac number, because 1026948305 - 212 = 1026944209 is a prime.

It is a super-2 number, since 2×10269483052 = 2109245642284746050, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3280829 + ... + 3281141.

It is an arithmetic number, because the mean of its divisors is an integer number (39994965).

Almost surely, 21026948305 is an apocalyptic number.

It is an amenable number.

1026948305 is a deficient number, since it is larger than the sum of its proper divisors (252890575).

1026948305 is a wasteful number, since it uses less digits than its factorization.

1026948305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581.

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 1026948305 is about 32046.0341540104. The cubic root of 1026948305 is about 1008.9032649580.

The spelling of 1026948305 in words is "one billion, twenty-six million, nine hundred forty-eight thousand, three hundred five".

Divisors: 1 5 73 89 101 313 365 445 505 1565 6497 7373 8989 22849 27857 31613 32485 36865 44945 114245 139285 158065 656197 2033561 2307749 2813557 3280985 10167805 11538745 14067785 205389661 1026948305