Search a number
-
+
5234803200 = 2937521117
BaseRepresentation
bin1001110000000010…
…01100001000000000
3111111211012120000000
410320001030020000
541210102200300
62223240000000
7243503043624
oct47001141000
914454176000
105234803200
112246a01140
121021160000
136556b01b3
14379343184
15209887c00
hex13804c200

5234803200 has 960 divisors, whose sum is σ = 22468026240. Its totient is φ = 1194393600.

The previous prime is 5234803199. The next prime is 5234803201. The reversal of 5234803200 is 23084325.

It is an interprime number because it is at equal distance from previous prime (5234803199) and next prime (5234803201).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5234803201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 307929592 + ... + 307929608.

It is an arithmetic number, because the mean of its divisors is an integer number (23404194).

Almost surely, 25234803200 is an apocalyptic number.

5234803200 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 5234803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11234013120).

5234803200 is an abundant number, since it is smaller than the sum of its proper divisors (17233223040).

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

5234803200 is an equidigital number, since it uses as much as digits as its factorization.

5234803200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5234803200 is about 72351.9398495991. The cubic root of 5234803200 is about 1736.3347340964.

Adding to 5234803200 its reverse (23084325), we get a palindrome (5257887525).

The spelling of 5234803200 in words is "five billion, two hundred thirty-four million, eight hundred three thousand, two hundred".