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875003328 = 263217193463
BaseRepresentation
bin110100001001110…
…111110111000000
32020222110202220200
4310021313313000
53243000101303
6222454205200
730453256053
oct6411676700
92228422820
10875003328
11409a09a51
12205053800
1310c383b64
14842d0a9a
1551c403a3
hex34277dc0

875003328 has 168 divisors, whose sum is σ = 2675095488. Its totient is φ = 272498688.

The previous prime is 875003323. The next prime is 875003351. The reversal of 875003328 is 823300578.

875003328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8750033282 = 1531261648022151168, which contains 22 as substring.

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 = 875003292 and 875003301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (875003323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1889625 + ... + 1890087.

Almost surely, 2875003328 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 875003328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337547744).

875003328 is an abundant number, since it is smaller than the sum of its proper divisors (1800092160).

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

875003328 is a wasteful number, since it uses less digits than its factorization.

875003328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 875003328 is about 29580.4551689118. The cubic root of 875003328 is about 956.4668040008.

The spelling of 875003328 in words is "eight hundred seventy-five million, three thousand, three hundred twenty-eight".