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80728256 = 267367491
BaseRepresentation
bin1001100111111…
…01000011000000
312121220102100102
410303331003000
5131131301011
612002141532
72000115230
oct463750300
9177812312
1080728256
1141629374
12230518a8
13139569cb
14aa15cc0
15714973b
hex4cfd0c0

80728256 has 56 divisors (see below), whose sum is σ = 183952896. Its totient is φ = 34433280.

The previous prime is 80728253. The next prime is 80728259. The reversal of 80728256 is 65282708.

It is an interprime number because it is at equal distance from previous prime (80728253) and next prime (80728259).

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (80728253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164171 + ... + 164661.

Almost surely, 280728256 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 80728256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91976448).

80728256 is an abundant number, since it is smaller than the sum of its proper divisors (103224640).

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

80728256 is a wasteful number, since it uses less digits than its factorization.

80728256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 80728256 is about 8984.8904278238. The cubic root of 80728256 is about 432.1904738473.

The spelling of 80728256 in words is "eighty million, seven hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 367 448 491 734 982 1468 1964 2569 2936 3437 3928 5138 5872 6874 7856 10276 11744 13748 15712 20552 23488 27496 31424 41104 54992 82208 109984 164416 180197 219968 360394 720788 1261379 1441576 2522758 2883152 5045516 5766304 10091032 11532608 20182064 40364128 80728256