Search a number
-
+
4132034244 = 22321338922697
BaseRepresentation
bin1111011001001001…
…1101011011000100
3101122222011002101100
43312102131123010
531430300043434
61522003500100
7204252466032
oct36622353304
911588132340
104132034244
111830475538
12973987630
1350b0a00a0
142b2ac3552
15192b56699
hexf649d6c4

4132034244 has 72 divisors (see below), whose sum is σ = 11277728280. Its totient is φ = 1268070912.

The previous prime is 4132034233. The next prime is 4132034267. The reversal of 4132034244 is 4424302314.

It is a happy number.

4132034244 is a `hidden beast` number, since 413 + 2 + 0 + 3 + 4 + 244 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 386594244 + 3745440000 = 19662^2 + 61200^2 .

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, 170704 + ... + 193400.

It is an arithmetic number, because the mean of its divisors is an integer number (156635115).

Almost surely, 24132034244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4132034244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5638864140).

4132034244 is an abundant number, since it is smaller than the sum of its proper divisors (7145694036).

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

4132034244 is a wasteful number, since it uses less digits than its factorization.

4132034244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23109 (or 23104 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4132034244 is about 64280.9010826700. The cubic root of 4132034244 is about 1604.6782666604.

Adding to 4132034244 its reverse (4424302314), we get a palindrome (8556336558).

The spelling of 4132034244 in words is "four billion, one hundred thirty-two million, thirty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 389 468 778 1167 1556 2334 3501 4668 5057 7002 10114 14004 15171 20228 22697 30342 45394 45513 60684 68091 90788 91026 136182 182052 204273 272364 295061 408546 590122 817092 885183 1180244 1770366 2655549 3540732 5311098 8829133 10622196 17658266 26487399 35316532 52974798 79462197 105949596 114778729 158924394 229557458 317848788 344336187 459114916 688672374 1033008561 1377344748 2066017122 4132034244