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71168768 = 2811127199
BaseRepresentation
bin1000011110111…
…11001100000000
311221220202012022
410033133030000
5121204400033
611021221012
71522632056
oct417371400
9157822168
1071168768
113719a170
121ba01768
131198a7c8
1496481d6
1563ac098
hex43df300

71168768 has 72 divisors (see below), whose sum is σ = 156979200. Its totient is φ = 31933440.

The previous prime is 71168759. The next prime is 71168833. The reversal of 71168768 is 86786117.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 357533 + ... + 357731.

Almost surely, 271168768 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 71168768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78489600).

71168768 is an abundant number, since it is smaller than the sum of its proper divisors (85810432).

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

71168768 is a wasteful number, since it uses less digits than its factorization.

71168768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 339 counting only the distinct ones).

The product of its digits is 112896, while the sum is 44.

The square root of 71168768 is about 8436.1583674087. The cubic root of 71168768 is about 414.4096080617.

The spelling of 71168768 in words is "seventy-one million, one hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 127 128 176 199 254 256 352 398 508 704 796 1016 1397 1408 1592 2032 2189 2794 2816 3184 4064 4378 5588 6368 8128 8756 11176 12736 16256 17512 22352 25273 25472 32512 35024 44704 50546 50944 70048 89408 101092 140096 178816 202184 278003 280192 357632 404368 556006 560384 808736 1112012 1617472 2224024 3234944 4448048 6469888 8896096 17792192 35584384 71168768