Search a number
-
+
5372323200 = 2732521671117
BaseRepresentation
bin1010000000011011…
…10010010110000000
3111212101222021222100
411000031302112000
542000303320300
62245031310400
7250062664566
oct50015622600
914771867870
105372323200
112307599a32
12105b21b400
1367802c78a
1438d6dda36
1521699e700
hex140372580

5372323200 has 288 divisors, whose sum is σ = 19301733360. Its totient is φ = 1422766080.

The previous prime is 5372323199. The next prime is 5372323223. The reversal of 5372323200 is 23232735.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 4809042 + ... + 4810158.

Almost surely, 25372323200 is an apocalyptic number.

5372323200 is a gapful number since it is divisible by the number (50) 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 5372323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9650866680).

5372323200 is an abundant number, since it is smaller than the sum of its proper divisors (13929410160).

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

5372323200 is a wasteful number, since it uses less digits than its factorization.

5372323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 5372323200 is about 73296.1335951631. The cubic root of 5372323200 is about 1751.4081944377.

Adding to 5372323200 its reverse (23232735), we get a palindrome (5395555935).

The spelling of 5372323200 in words is "five billion, three hundred seventy-two million, three hundred twenty-three thousand, two hundred".