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80856064 = 2102812
BaseRepresentation
bin1001101000111…
…00010000000000
312122010220200001
410310130100000
5131144343224
612005005344
72001156652
oct464342000
9178126601
1080856064
11417063a3
12230b3854
131399cc33
14aa4a6d2
157172544
hex4d1c400

80856064 has 33 divisors (see below), whose sum is σ = 162210421. Its totient is φ = 40284160.

The previous prime is 80856047. The next prime is 80856067. The reversal of 80856064 is 46065808.

The square root of 80856064 is 8992.

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

It can be written as a sum of positive squares in only one way, i.e., 54641664 + 26214400 = 7392^2 + 5120^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80856067) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 287604 + ... + 287884.

Almost surely, 280856064 is an apocalyptic number.

80856064 is the 8992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80856064

80856064 is an abundant number, since it is smaller than the sum of its proper divisors (81354357).

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

80856064 is an frugal number, since it uses more digits than its factorization.

80856064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The cubic root of 80856064 is about 432.4184331684.

The spelling of 80856064 in words is "eighty million, eight hundred fifty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 281 512 562 1024 1124 2248 4496 8992 17984 35968 71936 78961 143872 157922 287744 315844 631688 1263376 2526752 5053504 10107008 20214016 40428032 80856064