Search a number
-
+
5020315200 = 26345238737
BaseRepresentation
bin1001010110011101…
…11110111001000000
3110221212121102210000
410223032332321000
540240200041300
62150054440000
7235256655315
oct45316767100
913855542700
105020315200
11214692312a
12b81363000
13620122614
14358a6cd0c
151e5b1ac00
hex12b3bee40

5020315200 has 210 divisors, whose sum is σ = 18453892226. Its totient is φ = 1338716160.

The previous prime is 5020315187. The next prime is 5020315241. The reversal of 5020315200 is 25130205.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 876096 + 5019439104 = 936^2 + 70848^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 29 ways as a sum of consecutive naturals, for example, 110232 + ... + 148968.

Almost surely, 25020315200 is an apocalyptic number.

5020315200 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 5020315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9226946113).

5020315200 is an abundant number, since it is smaller than the sum of its proper divisors (13433577026).

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

5020315200 is a wasteful number, since it uses less digits than its factorization.

5020315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38771 (or 38747 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5020315200 is about 70854.1826570598. The cubic root of 5020315200 is about 1712.2887174292.

Adding to 5020315200 its reverse (25130205), we get a palindrome (5045445405).

The spelling of 5020315200 in words is "five billion, twenty million, three hundred fifteen thousand, two hundred".