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71409856 = 26733253
BaseRepresentation
bin1000100000110…
…10000011000000
311222100222220111
410100122003000
5121240103411
611030321104
71524655000
oct420320300
9158328814
1071409856
1137344311
121bab9194
1311a4346b
1496ac000
156408721
hex441a0c0

71409856 has 56 divisors (see below), whose sum is σ = 165303200. Its totient is φ = 30594816.

The previous prime is 71409839. The next prime is 71409857. The reversal of 71409856 is 65890417.

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 (71409857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20326 + ... + 23578.

Almost surely, 271409856 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 71409856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82651600).

71409856 is an abundant number, since it is smaller than the sum of its proper divisors (93893344).

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

71409856 is an equidigital number, since it uses as much as digits as its factorization.

71409856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3286 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 71409856 is about 8450.4352550623. The cubic root of 71409856 is about 414.8770255462.

The spelling of 71409856 in words is "seventy-one million, four hundred nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 1372 1568 2744 3136 3253 5488 6506 10976 13012 21952 22771 26024 45542 52048 91084 104096 159397 182168 208192 318794 364336 637588 728672 1115779 1275176 1457344 2231558 2550352 4463116 5100704 8926232 10201408 17852464 35704928 71409856