Search a number
-
+
5238678150 = 2325270116607
BaseRepresentation
bin1001110000011111…
…11110001010000110
3111112002111102102200
410320033332022012
541212100200100
62223455015330
7243551013066
oct47017761206
914462442380
105238678150
112249108482
12102250a546
13656438b74
14379a713a6
15209da0e00
hex1383fe286

5238678150 has 72 divisors (see below), whose sum is σ = 14095508544. Its totient is φ = 1394904000.

The previous prime is 5238678149. The next prime is 5238678161. The reversal of 5238678150 is 518768325.

5238678150 is a `hidden beast` number, since 52 + 386 + 78 + 150 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 5238678096 and 5238678105.

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 35 ways as a sum of consecutive naturals, for example, 307147 + ... + 323753.

It is an arithmetic number, because the mean of its divisors is an integer number (195770952).

Almost surely, 25238678150 is an apocalyptic number.

5238678150 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 5238678150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7047754272).

5238678150 is an abundant number, since it is smaller than the sum of its proper divisors (8856830394).

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

5238678150 is a wasteful number, since it uses less digits than its factorization.

5238678150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17326 (or 17318 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 5238678150 is about 72378.7133762407. The cubic root of 5238678150 is about 1736.7630565227.

The spelling of 5238678150 in words is "five billion, two hundred thirty-eight million, six hundred seventy-eight thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 701 1402 2103 3505 4206 6309 7010 10515 12618 16607 17525 21030 31545 33214 35050 49821 52575 63090 83035 99642 105150 149463 157725 166070 249105 298926 315450 415175 498210 747315 830350 1245525 1494630 2491050 3736575 7473150 11641507 23283014 34924521 58207535 69849042 104773563 116415070 174622605 209547126 291037675 349245210 523867815 582075350 873113025 1047735630 1746226050 2619339075 5238678150