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71054784 = 2632281439
BaseRepresentation
bin1000011110000…
…11010111000000
311221200221211200
410033003113000
5121142223114
611014541200
71521645543
oct417032700
9157627750
1071054784
1137121569
121b967800
131194a968
14961885a
156388409
hex43c35c0

71054784 has 84 divisors (see below), whose sum is σ = 204856080. Its totient is φ = 23546880.

The previous prime is 71054783. The next prime is 71054827. The reversal of 71054784 is 48745017.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71054783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161637 + ... + 162075.

Almost surely, 271054784 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 71054784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102428040).

71054784 is an abundant number, since it is smaller than the sum of its proper divisors (133801296).

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

71054784 is a wasteful number, since it uses less digits than its factorization.

71054784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 71054784 is about 8429.3999786462. The cubic root of 71054784 is about 414.1882501715.

The spelling of 71054784 in words is "seventy-one million, fifty-four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 281 288 439 562 576 843 878 1124 1317 1686 1756 2248 2529 2634 3372 3512 3951 4496 5058 5268 6744 7024 7902 8992 10116 10536 13488 14048 15804 17984 20232 21072 26976 28096 31608 40464 42144 53952 63216 80928 84288 123359 126432 161856 246718 252864 370077 493436 740154 986872 1110231 1480308 1973744 2220462 2960616 3947488 4440924 5921232 7894976 8881848 11842464 17763696 23684928 35527392 71054784