Search a number
-
+
5051728350 = 233524438447
BaseRepresentation
bin1001011010001101…
…10100000111011110
3111001001201101112000
410231012310013132
540321220301400
62153140023130
7236120660664
oct45506640736
914031641460
105051728350
112162629309
12b8b991aa6
136267a0896
1435ccc8c34
151e8773600
hex12d1b41de

5051728350 has 96 divisors (see below), whose sum is σ = 13953392640. Its totient is φ = 1343927520.

The previous prime is 5051728343. The next prime is 5051728387. The reversal of 5051728350 is 538271505.

5051728350 is a `hidden beast` number, since 505 + 1 + 72 + 83 + 5 + 0 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 593827 + ... + 602273.

It is an arithmetic number, because the mean of its divisors is an integer number (145347840).

Almost surely, 25051728350 is an apocalyptic number.

5051728350 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 5051728350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6976696320).

5051728350 is an abundant number, since it is smaller than the sum of its proper divisors (8901664290).

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

5051728350 is a wasteful number, since it uses less digits than its factorization.

5051728350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8911 (or 8900 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 5051728350 is about 71075.5116056156. The cubic root of 5051728350 is about 1715.8526757476.

Adding to 5051728350 its reverse (538271505), we get a palindrome (5589999855).

The spelling of 5051728350 in words is "five billion, fifty-one million, seven hundred twenty-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 443 450 675 886 1329 1350 2215 2658 3987 4430 6645 7974 8447 11075 11961 13290 16894 19935 22150 23922 25341 33225 39870 42235 50682 59805 66450 76023 84470 99675 119610 126705 152046 199350 211175 228069 253410 299025 380115 422350 456138 598050 633525 760230 1140345 1267050 1900575 2280690 3742021 3801150 5701725 7484042 11226063 11403450 18710105 22452126 33678189 37420210 56130315 67356378 93550525 101034567 112260630 168390945 187101050 202069134 280651575 336781890 505172835 561303150 841954725 1010345670 1683909450 2525864175 5051728350