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8052572160 = 21532543127
BaseRepresentation
bin1110111111111100…
…01000000000000000
3202210012100001100100
413133332020000000
5112442424302120
63411014322400
7403356506523
oct73776100000
922705301310
108052572160
113462515716
121688959400
139b43bc1c9
14565670bba
15321e32490
hex1dff88000

8052572160 has 384 divisors, whose sum is σ = 28789263360. Its totient is φ = 2080899072.

The previous prime is 8052572149. The next prime is 8052572249. The reversal of 8052572160 is 612752508.

It is a happy number.

8052572160 is a `hidden beast` number, since 8 + 0 + 525 + 72 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63406017 + ... + 63406143.

It is an arithmetic number, because the mean of its divisors is an integer number (74972040).

Almost surely, 28052572160 is an apocalyptic number.

8052572160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8052572160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14394631680).

8052572160 is an abundant number, since it is smaller than the sum of its proper divisors (20736691200).

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

8052572160 is a wasteful number, since it uses less digits than its factorization.

8052572160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 8052572160 is about 89736.1251670697. The cubic root of 8052572160 is about 2004.3714515775.

The spelling of 8052572160 in words is "eight billion, fifty-two million, five hundred seventy-two thousand, one hundred sixty".