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71168048 = 2471733673
BaseRepresentation
bin1000011110111…
…11000000110000
311221220201012122
410033133000300
5121204334143
611021213412
71522630010
oct417370060
9157821178
1071168048
1137199676
121ba01268
131198a393
149647c40
1563abc68
hex43df030

71168048 has 40 divisors (see below), whose sum is σ = 158540448. Its totient is φ = 30316032.

The previous prime is 71168047. The next prime is 71168077. The reversal of 71168048 is 84086117.

It is a super-2 number, since 2×711680482 = 10129782112260608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71167999 and 71168017.

It is not an unprimeable number, because it can be changed into a prime (71168047) 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, 17540 + ... + 21212.

Almost surely, 271168048 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 71168048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79270224).

71168048 is an abundant number, since it is smaller than the sum of its proper divisors (87372400).

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

71168048 is a wasteful number, since it uses less digits than its factorization.

71168048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3861 (or 3855 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 71168048 is about 8436.1156938487. The cubic root of 71168048 is about 414.4082105577.

The spelling of 71168048 in words is "seventy-one million, one hundred sixty-eight thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 173 346 692 1211 1384 2422 2768 3673 4844 7346 9688 14692 19376 25711 29384 51422 58768 102844 205688 411376 635429 1270858 2541716 4448003 5083432 8896006 10166864 17792012 35584024 71168048