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71048384 = 2611432347
BaseRepresentation
bin1000011110000…
…01110011000000
311221200122001122
410033001303000
5121142022014
611014451412
71521621101
oct417016300
9157618048
1071048384
1137117780
121b963b68
1311947a84
1496163a8
15638658e
hex43c1cc0

71048384 has 56 divisors (see below), whose sum is σ = 157447488. Its totient is φ = 31530240.

The previous prime is 71048339. The next prime is 71048387. The reversal of 71048384 is 48384017.

It is a happy number.

It is a super-2 number, since 2×710483842 = 10095745738022912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71048387) 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, 29099 + ... + 31445.

Almost surely, 271048384 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 71048384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78723744).

71048384 is an abundant number, since it is smaller than the sum of its proper divisors (86399104).

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

71048384 is a wasteful number, since it uses less digits than its factorization.

71048384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 71048384 is about 8429.0203463985. The cubic root of 71048384 is about 414.1758143004.

It can be divided in two parts, 710 and 48384, that added together give a palindrome (49094).

The spelling of 71048384 in words is "seventy-one million, forty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 172 176 344 352 473 688 704 946 1376 1892 2347 2752 3784 4694 7568 9388 15136 18776 25817 30272 37552 51634 75104 100921 103268 150208 201842 206536 403684 413072 807368 826144 1110131 1614736 1652288 2220262 3229472 4440524 6458944 8881048 17762096 35524192 71048384