Search a number
-
+
2108738250 = 232531376841
BaseRepresentation
bin111110110110000…
…1100101011001010
312102221222000001200
41331230030223022
513304314111000
6545125325030
7103153656633
oct17554145312
95387860050
102108738250
11992367293
124aa266776
13277b5a318
141600c288a
15c51e1500
hex7db0caca

2108738250 has 96 divisors (see below), whose sum is σ = 5744488464. Its totient is φ = 558144000.

The previous prime is 2108738239. The next prime is 2108738251. The reversal of 2108738250 is 528378012.

It can be written as a sum of positive squares in 8 ways, for example, as 261371889 + 1847366361 = 16167^2 + 42981^2 .

It is not an unprimeable number, because it can be changed into a prime (2108738251) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 304830 + ... + 311670.

Almost surely, 22108738250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2108738250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872244232).

2108738250 is an abundant number, since it is smaller than the sum of its proper divisors (3635750214).

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

2108738250 is a wasteful number, since it uses less digits than its factorization.

2108738250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7001 (or 6988 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2108738250 is about 45921.0000979944. Note that the first 4 decimals coincide. The cubic root of 2108738250 is about 1282.3529008357.

The spelling of 2108738250 in words is "two billion, one hundred eight million, seven hundred thirty-eight thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 137 150 225 250 274 375 411 450 685 750 822 1125 1233 1370 2055 2250 2466 3425 4110 6165 6841 6850 10275 12330 13682 17125 20523 20550 30825 34205 34250 41046 51375 61569 61650 68410 102615 102750 123138 154125 171025 205230 307845 308250 342050 513075 615690 855125 937217 1026150 1539225 1710250 1874434 2565375 2811651 3078450 4686085 5130750 5623302 7696125 8434953 9372170 14058255 15392250 16869906 23430425 28116510 42174765 46860850 70291275 84349530 117152125 140582550 210873825 234304250 351456375 421747650 702912750 1054369125 2108738250