Search a number
-
+
5024164200 = 23352111017537
BaseRepresentation
bin1001010110111011…
…01010100101101000
3110222010211222121120
410223131222211220
540242141223300
62150313135240
7235334456016
oct45335524550
913863758546
105024164200
112149011a20
12b826ba520
13620b6c533
143593918b6
151e612b3a0
hex12b76a968

5024164200 has 192 divisors, whose sum is σ = 17161312320. Its totient is φ = 1205760000.

The previous prime is 5024164199. The next prime is 5024164213. The reversal of 5024164200 is 24614205.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 662832 + ... + 670368.

It is an arithmetic number, because the mean of its divisors is an integer number (89381835).

Almost surely, 25024164200 is an apocalyptic number.

5024164200 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 5024164200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8580656160).

5024164200 is an abundant number, since it is smaller than the sum of its proper divisors (12137148120).

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

5024164200 is a wasteful number, since it uses less digits than its factorization.

5024164200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7668 (or 7659 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5024164200 is about 70881.3388699734. The cubic root of 5024164200 is about 1712.7262009619.

Adding to 5024164200 its reverse (24614205), we get a palindrome (5048778405).

The spelling of 5024164200 in words is "five billion, twenty-four million, one hundred sixty-four thousand, two hundred".