Search a number
-
+
538835436 = 223359103821
BaseRepresentation
bin100000000111011…
…111100111101100
31101112220200021000
4200013133213230
52100420213221
6125245040300
716232011536
oct4007374754
91345820230
10538835436
11257182047
12130556090
1387831849
14517c4856
1532489e26
hex201df9ec

538835436 has 96 divisors (see below), whose sum is σ = 1436198400. Its totient is φ = 174640320.

The previous prime is 538835413. The next prime is 538835449. The reversal of 538835436 is 634538835.

538835436 is a `hidden beast` number, since 538 + 83 + 5 + 4 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 538835391 and 538835400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 655906 + ... + 656726.

It is an arithmetic number, because the mean of its divisors is an integer number (14960400).

Almost surely, 2538835436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538835436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718099200).

538835436 is an abundant number, since it is smaller than the sum of its proper divisors (897362964).

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

538835436 is a wasteful number, since it uses less digits than its factorization.

538835436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 988 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 538835436 is about 23212.8291252919. The cubic root of 538835436 is about 813.7394723521.

It can be divided in two parts, 53883 and 5436, that added together give a cube (59319 = 393).

The spelling of 538835436 in words is "five hundred thirty-eight million, eight hundred thirty-five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 103 108 118 177 206 236 309 354 412 531 618 708 821 927 1062 1236 1593 1642 1854 2124 2463 2781 3186 3284 3708 4926 5562 6077 6372 7389 9852 11124 12154 14778 18231 22167 24308 29556 36462 44334 48439 54693 72924 84563 88668 96878 109386 145317 164079 169126 193756 218772 253689 290634 328158 338252 435951 507378 581268 656316 761067 871902 1014756 1307853 1522134 1743804 2283201 2615706 3044268 4566402 4989217 5231412 9132804 9978434 14967651 19956868 29935302 44902953 59870604 89805906 134708859 179611812 269417718 538835436