Search a number
-
+
5123538 = 2327237157
BaseRepresentation
bin10011100010110111010010
3100122022011200
4103202313102
52302423123
6301452030
761356300
oct23426722
910568150
105123538
11298a432
121871016
1310a50a4
14975270
156b3143
hex4e2dd2

5123538 has 72 divisors (see below), whose sum is σ = 13346892. Its totient is φ = 1415232.

The previous prime is 5123537. The next prime is 5123551. The reversal of 5123538 is 8353215.

5123538 is a `hidden beast` number, since 5 + 123 + 538 = 666.

5123538 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5049009 + 74529 = 2247^2 + 273^2 .

It is not an unprimeable number, because it can be changed into a prime (5123537) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32556 + ... + 32712.

Almost surely, 25123538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5123538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6673446).

5123538 is an abundant number, since it is smaller than the sum of its proper divisors (8223354).

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

5123538 is a wasteful number, since it uses less digits than its factorization.

5123538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 206 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 5123538 is about 2263.5233597204. The cubic root of 5123538 is about 172.3944660092.

The spelling of 5123538 in words is "five million, one hundred twenty-three thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 49 63 74 98 111 126 147 157 222 259 294 314 333 441 471 518 666 777 882 942 1099 1413 1554 1813 2198 2331 2826 3297 3626 4662 5439 5809 6594 7693 9891 10878 11618 15386 16317 17427 19782 23079 32634 34854 40663 46158 52281 69237 81326 104562 121989 138474 243978 284641 365967 569282 731934 853923 1707846 2561769 5123538