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71255296 = 287172339
BaseRepresentation
bin1000011111101…
…00010100000000
311222002010220001
410033310110000
5121220132141
611023125344
71523442250
oct417642400
9158063801
1071255296
1137249182
121ba43854
13119bacc8
14966b960
1563c7a31
hex43f4500

71255296 has 72 divisors (see below), whose sum is σ = 172186560. Its totient is φ = 28729344.

The previous prime is 71255281. The next prime is 71255351. The reversal of 71255296 is 69255217.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29295 + ... + 31633.

It is an arithmetic number, because the mean of its divisors is an integer number (2391480).

Almost surely, 271255296 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 71255296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86093280).

71255296 is an abundant number, since it is smaller than the sum of its proper divisors (100931264).

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

71255296 is a wasteful number, since it uses less digits than its factorization.

71255296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2365 counting only the distinct ones).

The product of its digits is 37800, while the sum is 37.

The square root of 71255296 is about 8441.2852102035. The cubic root of 71255296 is about 414.5774884075.

It can be divided in two parts, 7125 and 5296, that added together give a palindrome (12421).

The spelling of 71255296 in words is "seventy-one million, two hundred fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 544 896 952 1088 1792 1904 2176 2339 3808 4352 4678 7616 9356 15232 16373 18712 30464 32746 37424 39763 65492 74848 79526 130984 149696 159052 261968 278341 299392 318104 523936 556682 598784 636208 1047872 1113364 1272416 2095744 2226728 2544832 4191488 4453456 5089664 8906912 10179328 17813824 35627648 71255296