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85038471 = 33721719199
BaseRepresentation
bin1010001000110…
…01010110000111
312221000101212000
411010121112013
5133232212341
612234400343
72051546400
oct504312607
9187011760
1085038471
1144002731
12245900b3
131480582b
14b4189a7
1576eb8b6
hex5119587

85038471 has 96 divisors (see below), whose sum is σ = 164160000. Its totient is φ = 43110144.

The previous prime is 85038467. The next prime is 85038491. The reversal of 85038471 is 17483058.

85038471 is a `hidden beast` number, since 8 + 503 + 84 + 71 = 666.

It is not a de Polignac number, because 85038471 - 22 = 85038467 is a prime.

It is a super-3 number, since 3×850384713 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85038431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 427230 + ... + 427428.

It is an arithmetic number, because the mean of its divisors is an integer number (1710000).

Almost surely, 285038471 is an apocalyptic number.

85038471 is a deficient number, since it is larger than the sum of its proper divisors (79121529).

85038471 is a wasteful number, since it uses less digits than its factorization.

85038471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 85038471 is about 9221.6306041828. The cubic root of 85038471 is about 439.7492907145.

The spelling of 85038471 in words is "eighty-five million, thirty-eight thousand, four hundred seventy-one".

Divisors: 1 3 7 9 17 19 21 27 49 51 57 63 119 133 147 153 171 189 199 323 357 399 441 459 513 597 833 931 969 1071 1197 1323 1393 1791 2261 2499 2793 2907 3213 3383 3591 3781 4179 5373 6783 7497 8379 8721 9751 10149 11343 12537 15827 20349 22491 23681 25137 26467 29253 30447 34029 37611 47481 61047 64277 71043 79401 87759 91341 102087 142443 165767 185269 192831 213129 238203 263277 427329 449939 497301 555807 578493 639387 714609 1349817 1491903 1667421 1735479 3149573 4049451 4475709 5002263 9448719 12148353 28346157 85038471