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71092944 = 24331312659
BaseRepresentation
bin1000011110011…
…00101011010000
311221202220012000
410033030223100
5121144433234
611015434000
71522165026
oct417145320
9157686160
1071092944
11371481aa
121b985900
1311962140
149628716
156394899
hex43ccad0

71092944 has 80 divisors (see below), whose sum is σ = 219777600. Its totient is φ = 21873024.

The previous prime is 71092943. The next prime is 71092993. The reversal of 71092944 is 44929017.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 71092899 and 71092908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71092943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 714 + ... + 11945.

It is an arithmetic number, because the mean of its divisors is an integer number (2747220).

Almost surely, 271092944 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 71092944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109888800).

71092944 is an abundant number, since it is smaller than the sum of its proper divisors (148684656).

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

71092944 is a wasteful number, since it uses less digits than its factorization.

71092944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12689 (or 12677 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 71092944 is about 8431.6631811286. The cubic root of 71092944 is about 414.2623835568.

The spelling of 71092944 in words is "seventy-one million, ninety-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 12659 25318 37977 50636 75954 101272 113931 151908 164567 202544 227862 303816 329134 341793 455724 493701 607632 658268 683586 911448 987402 1316536 1367172 1481103 1822896 1974804 2633072 2734344 2962206 3949608 4443309 5468688 5924412 7899216 8886618 11848824 17773236 23697648 35546472 71092944