Search a number
-
+
5196050430 = 23531151163227
BaseRepresentation
bin1001101011011010…
…10110111111111110
3111102010021201012020
410311231112333332
541120142103210
62215333221010
7242522462034
oct46555267776
914363251166
105196050430
11222704265a
121010191766
1364a66226c
14374136554
15206280770
hex135b56ffe

5196050430 has 128 divisors (see below), whose sum is σ = 13094977536. Its totient is φ = 1318032000.

The previous prime is 5196050401. The next prime is 5196050471. The reversal of 5196050430 is 340506915.

It is a happy number.

It is a super-2 number, since 2×51960504302 = 53997880142206369800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5196050391 and 5196050400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22889977 + ... + 22890203.

It is an arithmetic number, because the mean of its divisors is an integer number (102304512).

Almost surely, 25196050430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5196050430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547488768).

5196050430 is an abundant number, since it is smaller than the sum of its proper divisors (7898927106).

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

5196050430 is a wasteful number, since it uses less digits than its factorization.

5196050430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582.

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 5196050430 is about 72083.6349666136. The cubic root of 5196050430 is about 1732.0394749718.

The spelling of 5196050430 in words is "five billion, one hundred ninety-six million, fifty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 151 155 163 186 227 302 310 326 453 454 465 489 681 755 815 906 930 978 1135 1362 1510 1630 2265 2270 2445 3405 4530 4681 4890 5053 6810 7037 9362 10106 14043 14074 15159 21111 23405 24613 25265 28086 30318 34277 35185 37001 42222 46810 49226 50530 68554 70215 70370 73839 74002 75795 102831 105555 111003 123065 140430 147678 151590 171385 185005 205662 211110 222006 246130 342770 369195 370010 514155 555015 738390 763003 1028310 1062587 1110030 1147031 1526006 2125174 2289009 2294062 3187761 3441093 3815015 4578018 5312935 5587151 5735155 6375522 6882186 7630030 10625870 11174302 11445045 11470310 15938805 16761453 17205465 22890090 27935755 31877610 33522906 34410930 55871510 83807265 167614530 173201681 346403362 519605043 866008405 1039210086 1732016810 2598025215 5196050430