Search a number
-
+
989146242 = 234723532
BaseRepresentation
bin111010111101010…
…010110010000010
32112221020211120000
4322331102302002
54011210134432
6242052500430
733340414200
oct7275226202
92487224500
10989146242
11468390237
1223731a716
13129c09b46
1495524070
155bc8a57c
hex3af52c82

989146242 has 90 divisors (see below), whose sum is σ = 2585609433. Its totient is φ = 281812608.

The previous prime is 989146237. The next prime is 989146253. The reversal of 989146242 is 242641989.

989146242 is a `hidden beast` number, since 9 + 8 + 9 + 14 + 624 + 2 = 666.

989146242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 980378721 + 8767521 = 31311^2 + 2961^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=22239.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2801938 + ... + 2802290.

Almost surely, 2989146242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989146242

989146242 is an abundant number, since it is smaller than the sum of its proper divisors (1596463191).

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

989146242 is an equidigital number, since it uses as much as digits as its factorization.

989146242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 365 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 989146242 is about 31450.6954136153. The cubic root of 989146242 is about 996.3689118237.

The spelling of 989146242 in words is "nine hundred eighty-nine million, one hundred forty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 353 378 441 567 706 882 1059 1134 1323 2118 2471 2646 3177 3969 4942 6354 7413 7938 9531 14826 17297 19062 22239 28593 34594 44478 51891 57186 66717 103782 124609 133434 155673 200151 249218 311346 373827 400302 467019 747654 872263 934038 1121481 1401057 1744526 2242962 2616789 2802114 3364443 5233578 6105841 6728886 7850367 10093329 12211682 15700734 18317523 20186658 23551101 36635046 47102202 54952569 70653303 109905138 141306606 164857707 329715414 494573121 989146242