Search a number
-
+
472144320 = 26325712309
BaseRepresentation
bin11100001001000…
…101100111000000
31012220102102020200
4130021011213000
51431332104240
6114503405200
714462106024
oct3411054700
91186372220
10472144320
1122257101a
12112153800
1376a8114b
14469c4384
152b6b4930
hex1c2459c0

472144320 has 168 divisors, whose sum is σ = 1647565920. Its totient is φ = 124078080.

The previous prime is 472144271. The next prime is 472144327. The reversal of 472144320 is 23441274.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472144327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203326 + ... + 205634.

It is an arithmetic number, because the mean of its divisors is an integer number (9806940).

Almost surely, 2472144320 is an apocalyptic number.

472144320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823782960).

472144320 is an abundant number, since it is smaller than the sum of its proper divisors (1175421600).

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

472144320 is a wasteful number, since it uses less digits than its factorization.

472144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 472144320 is about 21728.8821617680. The cubic root of 472144320 is about 778.6786306308.

Adding to 472144320 its reverse (23441274), we get a palindrome (495585594).

The spelling of 472144320 in words is "four hundred seventy-two million, one hundred forty-four thousand, three hundred twenty".