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71035056 = 243459929
BaseRepresentation
bin1000011101111…
…10100010110000
311221122221210000
410032332202300
5121141110211
611014310000
71521534201
oct416764260
9157587700
1071035056
1137108764
121b958300
13119419a1
1496115a8
156382656
hex43be8b0

71035056 has 100 divisors (see below), whose sum is σ = 209305800. Its totient is φ = 23251968.

The previous prime is 71035051. The next prime is 71035093. The reversal of 71035056 is 65053017.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (71035051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 76000 + ... + 76928.

It is an arithmetic number, because the mean of its divisors is an integer number (2093058).

Almost surely, 271035056 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 71035056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104652900).

71035056 is an abundant number, since it is smaller than the sum of its proper divisors (138270744).

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

71035056 is a wasteful number, since it uses less digits than its factorization.

71035056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 71035056 is about 8428.2297073585. The cubic root of 71035056 is about 414.1499142018.

The spelling of 71035056 in words is "seventy-one million, thirty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 81 108 118 144 162 177 216 236 324 354 432 472 531 648 708 929 944 1062 1296 1416 1593 1858 2124 2787 2832 3186 3716 4248 4779 5574 6372 7432 8361 8496 9558 11148 12744 14864 16722 19116 22296 25083 25488 33444 38232 44592 50166 54811 66888 75249 76464 100332 109622 133776 150498 164433 200664 219244 300996 328866 401328 438488 493299 601992 657732 876976 986598 1203984 1315464 1479897 1973196 2630928 2959794 3946392 4439691 5919588 7892784 8879382 11839176 17758764 23678352 35517528 71035056