Search a number
-
+
2004749831 = 71989257659
BaseRepresentation
bin111011101111110…
…0000111000000111
312011201021211202202
41313133200320013
513101203443311
6530532425115
7100452043460
oct16737407007
95151254682
102004749831
119396a1247
1247b47819b
1325c44b306
14150373d67
15baeeee3b
hex777e0e07

2004749831 has 32 divisors (see below), whose sum is σ = 2452032000. Its totient is φ = 1600929792.

The previous prime is 2004749809. The next prime is 2004749911. The reversal of 2004749831 is 1389474002.

It is not a de Polignac number, because 2004749831 - 210 = 2004748807 is a prime.

It is a super-3 number, since 3×20047498313 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004749231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3041780 + ... + 3042438.

It is an arithmetic number, because the mean of its divisors is an integer number (76626000).

Almost surely, 22004749831 is an apocalyptic number.

2004749831 is a deficient number, since it is larger than the sum of its proper divisors (447282169).

2004749831 is a wasteful number, since it uses less digits than its factorization.

2004749831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031.

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 2004749831 is about 44774.4327825602. The cubic root of 2004749831 is about 1260.9176633632.

The spelling of 2004749831 in words is "two billion, four million, seven hundred forty-nine thousand, eight hundred thirty-one".

Divisors: 1 7 19 89 133 257 623 659 1691 1799 4613 4883 11837 12521 22873 34181 58651 87647 160111 169363 410557 434587 1114369 1185541 3042109 3217897 7800583 15073307 22525279 105513149 286392833 2004749831