Search a number
-
+
5234417604 = 22321312898677
BaseRepresentation
bin1001101111111111…
…01101111111000100
3111111210110222001200
410313333231333010
541210002330404
62223223422500
7243466546503
oct46777557704
914453428050
105234417604
112246768469
121020bb4a30
136555a6830
1437928283a
1520980d839
hex137fedfc4

5234417604 has 72 divisors (see below), whose sum is σ = 14261945880. Its totient is φ = 1609155072.

The previous prime is 5234417599. The next prime is 5234417647. The reversal of 5234417604 is 4067144325.

5234417604 is a `hidden beast` number, since 5 + 2 + 3 + 4 + 41 + 7 + 604 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 299636100 + 4934781504 = 17310^2 + 70248^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 598914 + ... + 607590.

Almost surely, 25234417604 is an apocalyptic number.

It is an amenable number.

5234417604 is an abundant number, since it is smaller than the sum of its proper divisors (9027528276).

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

5234417604 is a wasteful number, since it uses less digits than its factorization.

5234417604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9989 (or 9984 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 5234417604 is about 72349.2750758430. The cubic root of 5234417604 is about 1736.2921002003.

The spelling of 5234417604 in words is "five billion, two hundred thirty-four million, four hundred seventeen thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1289 2578 3867 5156 7734 8677 11601 15468 16757 17354 23202 26031 33514 34708 46404 50271 52062 67028 78093 100542 104124 112801 150813 156186 201084 225602 301626 312372 338403 451204 603252 676806 1015209 1353612 2030418 4060836 11184653 22369306 33553959 44738612 67107918 100661877 134215836 145400489 201323754 290800978 402647508 436201467 581601956 872402934 1308604401 1744805868 2617208802 5234417604