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71048256 = 263509727
BaseRepresentation
bin1000011110000…
…01110001000000
311221200121212220
410033001301000
5121142021011
611014451040
71521620526
oct417016100
9157617786
1071048256
1137117674
121b963a80
13119479b6
149616316
156386506
hex43c1c40

71048256 has 56 divisors (see below), whose sum is σ = 188610240. Its totient is φ = 23603712.

The previous prime is 71048233. The next prime is 71048269. The reversal of 71048256 is 65284017.

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, 97365 + ... + 98091.

It is an arithmetic number, because the mean of its divisors is an integer number (3368040).

Almost surely, 271048256 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 71048256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94305120).

71048256 is an abundant number, since it is smaller than the sum of its proper divisors (117561984).

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

71048256 is a wasteful number, since it uses less digits than its factorization.

71048256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 71048256 is about 8429.0127535792. The cubic root of 71048256 is about 414.1755655754.

The spelling of 71048256 in words is "seventy-one million, forty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 509 727 1018 1454 1527 2036 2181 2908 3054 4072 4362 5816 6108 8144 8724 11632 12216 16288 17448 23264 24432 32576 34896 46528 48864 69792 97728 139584 370043 740086 1110129 1480172 2220258 2960344 4440516 5920688 8881032 11841376 17762064 23682752 35524128 71048256