Search a number
-
+
5241735750 = 2353311311721
BaseRepresentation
bin1001110000110111…
…01000101001000110
3111112022020202200010
410320123220221012
541213341021000
62224044331050
7243616006266
oct47033505106
914468222603
105241735750
11224a906719
121023543a86
13656c697b4
1437a2297a6
1520a2a6d50
hex1386e8a46

5241735750 has 128 divisors (see below), whose sum is σ = 13616418816. Its totient is φ = 1341600000.

The previous prime is 5241735743. The next prime is 5241735757. The reversal of 5241735750 is 575371425.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5241735743) and next prime (5241735757).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5241735699 and 5241735708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5241735757) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3044890 + ... + 3046610.

It is an arithmetic number, because the mean of its divisors is an integer number (106378272).

Almost surely, 25241735750 is an apocalyptic number.

5241735750 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5241735750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6808209408).

5241735750 is an abundant number, since it is smaller than the sum of its proper divisors (8374683066).

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

5241735750 is a wasteful number, since it uses less digits than its factorization.

5241735750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 39.

The square root of 5241735750 is about 72399.8325274306. The cubic root of 5241735750 is about 1737.1008830866.

The spelling of 5241735750 in words is "five billion, two hundred forty-one million, seven hundred thirty-five thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 125 131 150 155 186 250 262 310 375 393 465 655 750 775 786 930 1310 1550 1721 1965 2325 3275 3442 3875 3930 4061 4650 5163 6550 7750 8122 8605 9825 10326 11625 12183 16375 17210 19650 20305 23250 24366 25815 32750 40610 43025 49125 51630 53351 60915 86050 98250 101525 106702 121830 129075 160053 203050 215125 225451 258150 266755 304575 320106 430250 450902 507625 533510 609150 645375 676353 800265 1015250 1127255 1290750 1333775 1352706 1522875 1600530 2254510 2667550 3045750 3381765 4001325 5636275 6668875 6763530 6988981 8002650 11272550 13337750 13977962 16908825 20006625 20966943 28181375 33817650 34944905 40013250 41933886 56362750 69889810 84544125 104834715 169088250 174724525 209669430 349449050 524173575 873622625 1048347150 1747245250 2620867875 5241735750