Search a number
-
+
5248320000 = 2935471171
BaseRepresentation
bin1001110001101001…
…10000001000000000
3111112202122021120020
410320310300020000
541222032220000
62224441413440
7244025661330
oct47064601000
914482567506
105248320000
1122535a3550
12102579a280
136584336c1
1437b0610c0
1520ab57ba0
hex138d30200

5248320000 has 800 divisors, whose sum is σ = 22089729024. Its totient is φ = 1075200000.

The previous prime is 5248319987. The next prime is 5248320023. The reversal of 5248320000 is 238425.

It is a tau number, because it is divible by the number of its divisors (800).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73919965 + ... + 73920035.

Almost surely, 25248320000 is an apocalyptic number.

5248320000 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 5248320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11044864512).

5248320000 is an abundant number, since it is smaller than the sum of its proper divisors (16841409024).

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

5248320000 is an equidigital number, since it uses as much as digits as its factorization.

5248320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 99 counting only the distinct ones).

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

The square root of 5248320000 is about 72445.2897019537. The cubic root of 5248320000 is about 1737.8279145773.

Adding to 5248320000 its reverse (238425), we get a palindrome (5248558425).

The spelling of 5248320000 in words is "five billion, two hundred forty-eight million, three hundred twenty thousand".