Search a number
-
+
2005441002 = 232296162981
BaseRepresentation
bin111011110001000…
…1001100111101010
312011202120221212200
41313202021213222
513101343103002
6530555321030
7100460652525
oct16742114752
95152527780
102005441002
1193a023564
1247b750176
1325c630aa6
141504b3bbc
15bb0d9b1c
hex778899ea

2005441002 has 48 divisors (see below), whose sum is σ = 4568714280. Its totient is φ = 634838400.

The previous prime is 2005440961. The next prime is 2005441021. The reversal of 2005441002 is 2001445002.

2005441002 is a `hidden beast` number, since 20 + 0 + 544 + 100 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1416844881 + 588596121 = 37641^2 + 24261^2 .

It is a super-2 number, since 2×20054410022 = 8043587225005528008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 352 + ... + 63332.

Almost surely, 22005441002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005441002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284357140).

2005441002 is an abundant number, since it is smaller than the sum of its proper divisors (2563273278).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2005441002 is a wasteful number, since it uses less digits than its factorization.

2005441002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63079 (or 63076 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2005441002 is about 44782.1504843169. The cubic root of 2005441002 is about 1261.0625541907.

Adding to 2005441002 its reverse (2001445002), we get a palindrome (4006886004).

The spelling of 2005441002 in words is "two billion, five million, four hundred forty-one thousand, two".

Divisors: 1 2 3 6 9 18 29 58 61 87 122 174 183 261 366 522 549 1098 1769 3538 5307 10614 15921 31842 62981 125962 188943 377886 566829 1133658 1826449 3652898 3841841 5479347 7683682 10958694 11525523 16438041 23051046 32876082 34576569 69153138 111413389 222826778 334240167 668480334 1002720501 2005441002