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820025856 = 2936133
BaseRepresentation
bin110000111000001…
…001101000000000
32010011000122000000
4300320021220000
53134411311411
6213212000000
726215050636
oct6070115000
92104018000
10820025856
11390979621
121aa760000
13100b75000
147ac9d356
154bed0956
hex30e09a00

820025856 has 280 divisors, whose sum is σ = 2661170820. Its totient is φ = 252315648.

The previous prime is 820025819. The next prime is 820025879. The reversal of 820025856 is 658520028.

The cubic root of 820025856 is 936.

It is a perfect power (a cube), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 255488256 + 564537600 = 15984^2 + 23760^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 820025856.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 63078906 + ... + 63078918.

Almost surely, 2820025856 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 820025856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330585410).

820025856 is an abundant number, since it is smaller than the sum of its proper divisors (1841144964).

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

820025856 is an frugal number, since it uses more digits than its factorization.

820025856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 820025856 is about 28636.0935883371.

The spelling of 820025856 in words is "eight hundred twenty million, twenty-five thousand, eight hundred fifty-six".