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875268576 = 253272132367
BaseRepresentation
bin110100001010111…
…000100111100000
32020222222020202200
4310022320213200
53243032043301
6222504013200
730455442300
oct6412704740
92228866680
10875268576
1140a080266
12205161200
1310c447800
148435d600
1551c93c86
hex342b89e0

875268576 has 324 divisors, whose sum is σ = 3143819952. Its totient is φ = 230211072.

The previous prime is 875268551. The next prime is 875268607. The reversal of 875268576 is 675862578.

875268576 is a `hidden beast` number, since 8 + 7 + 5 + 2 + 68 + 576 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (5644800) is a multiple of the sum of its prime divisors (392).

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 53 ways as a sum of consecutive naturals, for example, 2384745 + ... + 2385111.

It is an arithmetic number, because the mean of its divisors is an integer number (9703148).

Almost surely, 2875268576 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 875268576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571909976).

875268576 is an abundant number, since it is smaller than the sum of its proper divisors (2268551376).

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

875268576 is a wasteful number, since it uses less digits than its factorization.

875268576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 392 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The square root of 875268576 is about 29584.9383301706. The cubic root of 875268576 is about 956.5634418335.

The spelling of 875268576 in words is "eight hundred seventy-five million, two hundred sixty-eight thousand, five hundred seventy-six".