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5232528000 = 273253729179
BaseRepresentation
bin1001101111110001…
…00000101010000000
3111111122220222000100
410313320200222000
541204011344000
62223115122400
7243444516450
oct46770405200
914448828010
105232528000
112245697807
121020443400
1365509471b
14378d0dd60
15209588a00
hex137e20a80

5232528000 has 768 divisors, whose sum is σ = 22340448000. Its totient is φ = 1148313600.

The previous prime is 5232527969. The next prime is 5232528031. The reversal of 5232528000 is 8252325.

It is an interprime number because it is at equal distance from previous prime (5232527969) and next prime (5232528031).

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 95 ways as a sum of consecutive naturals, for example, 29231911 + ... + 29232089.

It is an arithmetic number, because the mean of its divisors is an integer number (29089125).

Almost surely, 25232528000 is an apocalyptic number.

5232528000 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 5232528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11170224000).

5232528000 is an abundant number, since it is smaller than the sum of its proper divisors (17107920000).

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

5232528000 is a wasteful number, since it uses less digits than its factorization.

5232528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5232528000 is about 72336.2149963626. The cubic root of 5232528000 is about 1736.0831435329.

The spelling of 5232528000 in words is "five billion, two hundred thirty-two million, five hundred twenty-eight thousand".