Search a number
-
+
5024314350 = 23252112344131
BaseRepresentation
bin1001010110111100…
…01111001111101110
3110222011010121120200
410223132033033232
540242211024400
62150320254330
7235335652536
oct45336171756
913864117520
105024314350
112149104810
12b827713a6
13620bc2993
143593d04c6
151e615ab00
hex12b78f3ee

5024314350 has 144 divisors (see below), whose sum is σ = 15366409344. Its totient is φ = 1165032000.

The previous prime is 5024314333. The next prime is 5024314357. The reversal of 5024314350 is 534134205.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5024314357) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91785 + ... + 135915.

It is an arithmetic number, because the mean of its divisors is an integer number (106711176).

Almost surely, 25024314350 is an apocalyptic number.

5024314350 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 5024314350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7683204672).

5024314350 is an abundant number, since it is smaller than the sum of its proper divisors (10342094994).

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

5024314350 is a wasteful number, since it uses less digits than its factorization.

5024314350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44183 (or 44175 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5024314350 is about 70882.3980265905. The cubic root of 5024314350 is about 1712.7432627236.

Adding to 5024314350 its reverse (534134205), we get a palindrome (5558448555).

The spelling of 5024314350 in words is "five billion, twenty-four million, three hundred fourteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 25 30 33 45 46 50 55 66 69 75 90 99 110 115 138 150 165 198 207 225 230 253 275 330 345 414 450 495 506 550 575 690 759 825 990 1035 1150 1265 1518 1650 1725 2070 2277 2475 2530 3450 3795 4554 4950 5175 6325 7590 10350 11385 12650 18975 22770 37950 44131 56925 88262 113850 132393 220655 264786 397179 441310 485441 661965 794358 970882 1015013 1103275 1323930 1456323 1985895 2030026 2206550 2427205 2912646 3045039 3309825 3971790 4368969 4854410 5075065 6090078 6619650 7281615 8737938 9135117 9929475 10150130 11165143 12136025 14563230 15225195 18270234 19858950 21844845 22330286 24272050 25375325 30450390 33495429 36408075 43689690 45675585 50750650 55825715 66990858 72816150 76125975 91351170 100486287 109224225 111651430 152251950 167477145 200972574 218448450 228377925 279128575 334954290 456755850 502431435 558257150 837385725 1004862870 1674771450 2512157175 5024314350