Search a number
-
+
1013849281 = 17218732
BaseRepresentation
bin111100011011100…
…001110011000001
32121122201212202101
4330123201303001
54034021134111
6244334150401
734060401544
oct7433416301
92548655671
101013849281
11480322a75
12243652401
13132078b23
149891485b
155e019bc1
hex3c6e1cc1

1013849281 has 9 divisors (see below), whose sum is σ = 1077570921. Its totient is φ = 953701632.

The previous prime is 1013849279. The next prime is 1013849297. The reversal of 1013849281 is 1829483101.

The square root of 1013849281 is 31841.

It is a perfect power (a square), and thus also a powerful number.

1013849281 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 104223681 + 909625600 = 10209^2 + 30160^2 .

It is not a de Polignac number, because 1013849281 - 21 = 1013849279 is a prime.

It is a super-2 number, since 2×10138492812 = 2055780729168433922, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1013849281.

It is not an unprimeable number, because it can be changed into a prime (1013849261) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 540361 + ... + 542233.

Almost surely, 21013849281 is an apocalyptic number.

1013849281 is the 31841-st square number.

1013849281 is the 15921-st centered octagonal number.

It is an amenable number.

1013849281 is a deficient number, since it is larger than the sum of its proper divisors (63721640).

1013849281 is an frugal number, since it uses more digits than its factorization.

1013849281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The cubic root of 1013849281 is about 1004.5952780739.

The spelling of 1013849281 in words is "one billion, thirteen million, eight hundred forty-nine thousand, two hundred eighty-one".

Divisors: 1 17 289 1873 31841 541297 3508129 59638193 1013849281