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5025803328 = 2633713311031
BaseRepresentation
bin1001010111000111…
…11010110001000000
3110222020221021002000
410223203322301000
540243101201303
62150412224000
7235354423560
oct45343726100
913866837060
105025803328
112149a31477
12b8316b000
136212c4630
1435969ada0
151e6351da3
hex12b8fac40

5025803328 has 448 divisors, whose sum is σ = 18789335040. Its totient is φ = 1281484800.

The previous prime is 5025803311. The next prime is 5025803339. The reversal of 5025803328 is 8233085205.

5025803328 is a `hidden beast` number, since 50 + 2 + 580 + 3 + 3 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5025803292 and 5025803301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4874173 + ... + 4875203.

It is an arithmetic number, because the mean of its divisors is an integer number (41940480).

Almost surely, 25025803328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5025803328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9394667520).

5025803328 is an abundant number, since it is smaller than the sum of its proper divisors (13763531712).

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

5025803328 is a wasteful number, since it uses less digits than its factorization.

5025803328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5025803328 is about 70892.9004061761. The cubic root of 5025803328 is about 1712.9124390514.

The spelling of 5025803328 in words is "five billion, twenty-five million, eight hundred three thousand, three hundred twenty-eight".