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5225472000 = 21336537
BaseRepresentation
bin1001101110111011…
…00110000000000000
3111111011122111000000
410313131212000000
541200210101000
62222304000000
7243330531150
oct46735460000
914434574000
105225472000
112241708501
12101a000000
13653793b88
14377dd4760
15208b43000
hex137766000

5225472000 has 784 divisors, whose sum is σ = 22347460512. Its totient is φ = 1194393600.

The previous prime is 5225471989. The next prime is 5225472013. The reversal of 5225472000 is 2745225.

It is a Jordan-Polya number, since it can be written as 10! ⋅ 6! ⋅ 2!.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 746495997 + ... + 746496003.

Almost surely, 25225472000 is an apocalyptic number.

5225472000 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 5225472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11173730256).

5225472000 is an abundant number, since it is smaller than the sum of its proper divisors (17121988512).

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

5225472000 is an frugal number, since it uses more digits than its factorization.

5225472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 5225472000 is about 72287.4262925441. The cubic root of 5225472000 is about 1735.3024302062.

The spelling of 5225472000 in words is "five billion, two hundred twenty-five million, four hundred seventy-two thousand".