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875468520 = 233353179331
BaseRepresentation
bin110100001011101…
…001011011101000
32021000100102001000
4310023221123220
53243104443040
6222512155000
730460234233
oct6413513350
92230312030
10875468520
1140a1a7503
12205238a60
1310c4b7814
14843b241a
1551cd3130
hex342e96e8

875468520 has 256 divisors, whose sum is σ = 3059712000. Its totient is φ = 222393600.

The previous prime is 875468509. The next prime is 875468537. The reversal of 875468520 is 25864578.

875468520 is a `hidden beast` number, since 8 + 7 + 546 + 85 + 20 = 666.

875468520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2644755 + ... + 2645085.

It is an arithmetic number, because the mean of its divisors is an integer number (11952000).

Almost surely, 2875468520 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 875468520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529856000).

875468520 is an abundant number, since it is smaller than the sum of its proper divisors (2184243480).

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

875468520 is a wasteful number, since it uses less digits than its factorization.

875468520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 875468520 is about 29588.3172890923. The cubic root of 875468520 is about 956.6362745481.

The spelling of 875468520 in words is "eight hundred seventy-five million, four hundred sixty-eight thousand, five hundred twenty".