[go: up one dir, main page]

Search a number
-
+
2004155442 = 232181617997
BaseRepresentation
bin111011101110100…
…1111110000110010
312011200011122102100
41313131033300302
513101030433232
6530512001230
7100444016532
oct16735176062
95150148370
102004155442
11939325713
1247b230216
1325c2a08c3
1415025b4c2
15bae33c7c
hex7774fc32

2004155442 has 48 divisors (see below), whose sum is σ = 4377790872. Its totient is φ = 662618880.

The previous prime is 2004155441. The next prime is 2004155459. The reversal of 2004155442 is 2445514002.

2004155442 is a `hidden beast` number, since 200 + 4 + 15 + 5 + 442 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 895864761 + 1108290681 = 29931^2 + 33291^2 .

It is not an unprimeable number, because it can be changed into a prime (2004155441) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2009688 + ... + 2010684.

Almost surely, 22004155442 is an apocalyptic number.

2004155442 is an abundant number, since it is smaller than the sum of its proper divisors (2373635430).

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

2004155442 is a wasteful number, since it uses less digits than its factorization.

2004155442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2004155442 is about 44767.7946966343. The cubic root of 2004155442 is about 1260.7930344011.

Adding to 2004155442 its reverse (2445514002), we get a palindrome (4449669444).

The spelling of 2004155442 in words is "two billion, four million, one hundred fifty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 181 362 543 617 997 1086 1234 1629 1851 1994 2991 3258 3702 5553 5982 8973 11106 17946 111677 180457 223354 335031 360914 541371 615149 670062 1005093 1082742 1230298 1624113 1845447 2010186 3248226 3690894 5536341 11072682 111341969 222683938 334025907 668051814 1002077721 2004155442