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85488291 = 347317181
BaseRepresentation
bin1010001100001…
…11001010100011
312221212020220000
411012013022203
5133341111131
612252151043
72055432000
oct506071243
9187766800
1085488291
114428a689
1224768483
13149324b5
14b4d48a7
157789ce6
hex51872a3

85488291 has 80 divisors (see below), whose sum is σ = 158558400. Its totient is φ = 45722880.

The previous prime is 85488289. The next prime is 85488307. The reversal of 85488291 is 19288458.

It is a happy number.

85488291 is a `hidden beast` number, since 85 + 488 + 2 + 91 = 666.

It is not a de Polignac number, because 85488291 - 21 = 85488289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85488251) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 472221 + ... + 472401.

It is an arithmetic number, because the mean of its divisors is an integer number (1981980).

Almost surely, 285488291 is an apocalyptic number.

85488291 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

85488291 is a deficient number, since it is larger than the sum of its proper divisors (73070109).

85488291 is a wasteful number, since it uses less digits than its factorization.

85488291 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 208 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 85488291 is about 9245.9878325682. The cubic root of 85488291 is about 440.5232944074.

The spelling of 85488291 in words is "eighty-five million, four hundred eighty-eight thousand, two hundred ninety-one".

Divisors: 1 3 7 9 17 21 27 49 51 63 81 119 147 153 181 189 343 357 441 459 543 567 833 1029 1071 1267 1323 1377 1629 2499 3077 3087 3213 3801 3969 4887 5831 7497 8869 9231 9261 9639 11403 14661 17493 21539 22491 26607 27693 27783 34209 52479 62083 64617 67473 79821 83079 102627 150773 157437 186249 193851 239463 249237 452319 472311 558747 581553 718389 1055411 1356957 1676241 1744659 3166233 4070871 5028723 9498699 12212613 28496097 85488291