Search a number
-
+
431025532 = 227471073061
BaseRepresentation
bin11001101100001…
…110110101111100
31010001001100212121
4121230032311330
51340320304112
6110434212324
713452441130
oct3154166574
91101040777
10431025532
11201336953
121004240a4
136b3b52c2
144135d3c0
1527c91407
hex19b0ed7c

431025532 has 48 divisors (see below), whose sum is σ = 888910848. Its totient is φ = 179046720.

The previous prime is 431025527. The next prime is 431025547. The reversal of 431025532 is 235520134.

It is a junction number, because it is equal to n+sod(n) for n = 431025497 and 431025506.

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 15 ways as a sum of consecutive naturals, for example, 139282 + ... + 142342.

It is an arithmetic number, because the mean of its divisors is an integer number (18518976).

Almost surely, 2431025532 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 431025532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444455424).

431025532 is an abundant number, since it is smaller than the sum of its proper divisors (457885316).

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

431025532 is a wasteful number, since it uses less digits than its factorization.

431025532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 431025532 is about 20761.1543995029. The cubic root of 431025532 is about 755.3837979662.

Adding to 431025532 its reverse (235520134), we get a palindrome (666545666).

The spelling of 431025532 in words is "four hundred thirty-one million, twenty-five thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 28 47 94 107 188 214 329 428 658 749 1316 1498 2996 3061 5029 6122 10058 12244 20116 21427 35203 42854 70406 85708 140812 143867 287734 327527 575468 655054 1007069 1310108 2014138 2292689 4028276 4585378 9170756 15393769 30787538 61575076 107756383 215512766 431025532