Search a number
-
+
2047078241 = 13212112889
BaseRepresentation
bin111101000000011…
…1110111101100001
312021122221100102122
41322000332331201
513143023000431
6535043554025
7101504610065
oct17200767541
95248840378
102047078241
119605821aa
1249168b915
1326814b900
14155c31aa5
15beab1a7b
hex7a03ef61

2047078241 has 6 divisors (see below), whose sum is σ = 2216658870. Its totient is φ = 1889610528.

The previous prime is 2047078207. The next prime is 2047078261. The reversal of 2047078241 is 1428707402.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 215238241 + 1831840000 = 14671^2 + 42800^2 .

It is not a de Polignac number, because 2047078241 - 222 = 2042883937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2047078261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6056276 + ... + 6056613.

It is an arithmetic number, because the mean of its divisors is an integer number (369443145).

Almost surely, 22047078241 is an apocalyptic number.

It is an amenable number.

2047078241 is a deficient number, since it is larger than the sum of its proper divisors (169580629).

2047078241 is a wasteful number, since it uses less digits than its factorization.

2047078241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12112915 (or 12112902 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 35.

The square root of 2047078241 is about 45244.6487554053. The cubic root of 2047078241 is about 1269.7302919939.

The spelling of 2047078241 in words is "two billion, forty-seven million, seventy-eight thousand, two hundred forty-one".

Divisors: 1 13 169 12112889 157467557 2047078241