Search a number
-
+
71049744 = 24331631009
BaseRepresentation
bin1000011110000…
…10001000010000
311221200200221000
410033002020100
5121142042434
611014502000
71521625053
oct417021020
9157620830
1071049744
11371187a7
121b964900
131194858c
149616a9a
156386b99
hex43c2210

71049744 has 80 divisors (see below), whose sum is σ = 205393600. Its totient is φ = 23514624.

The previous prime is 71049673. The next prime is 71049751. The reversal of 71049744 is 44794017.

It is a super-2 number, since 2×710497442 = 10096132244931072, which contains 22 as substring.

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 = 71049699 and 71049708.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69912 + ... + 70920.

It is an arithmetic number, because the mean of its divisors is an integer number (2567420).

Almost surely, 271049744 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 71049744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102696800).

71049744 is an abundant number, since it is smaller than the sum of its proper divisors (134343856).

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

71049744 is a wasteful number, since it uses less digits than its factorization.

71049744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 71049744 is about 8429.1010196818. The cubic root of 71049744 is about 414.1784569855.

The spelling of 71049744 in words is "seventy-one million, forty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 163 216 326 432 489 652 978 1009 1304 1467 1956 2018 2608 2934 3027 3912 4036 4401 5868 6054 7824 8072 8802 9081 11736 12108 16144 17604 18162 23472 24216 27243 35208 36324 48432 54486 70416 72648 108972 145296 164467 217944 328934 435888 493401 657868 986802 1315736 1480203 1973604 2631472 2960406 3947208 4440609 5920812 7894416 8881218 11841624 17762436 23683248 35524872 71049744