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2985642738 = 2321333737861
BaseRepresentation
bin1011000111110101…
…0100101011110010
321201002000100212200
42301331110223302
522103311031423
61212132404030
7133662354531
oct26175245362
97632010780
102985642738
1112a2354641
126b3a76616
13387728610
1420474a318
151271a9d43
hexb1f54af2

2985642738 has 48 divisors (see below), whose sum is σ = 6987356376. Its totient is φ = 915909120.

The previous prime is 2985642733. The next prime is 2985642757. The reversal of 2985642738 is 8372465892.

2985642738 is a `hidden beast` number, since 2 + 9 + 8 + 564 + 2 + 73 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2549543049 + 436099689 = 50493^2 + 20883^2 .

It is not an unprimeable number, because it can be changed into a prime (2985642733) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59928 + ... + 97788.

Almost surely, 22985642738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2985642738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493678188).

2985642738 is an abundant number, since it is smaller than the sum of its proper divisors (4001713638).

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

2985642738 is a wasteful number, since it uses less digits than its factorization.

2985642738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38219 (or 38216 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 2985642738 is about 54641.0352939986. The cubic root of 2985642738 is about 1439.9451396924.

The spelling of 2985642738 in words is "two billion, nine hundred eighty-five million, six hundred forty-two thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 337 674 1011 2022 3033 4381 6066 8762 13143 26286 37861 39429 75722 78858 113583 227166 340749 492193 681498 984386 1476579 2953158 4429737 8859474 12759157 25518314 38277471 76554942 114832413 165869041 229664826 331738082 497607123 995214246 1492821369 2985642738