Search a number
-
+
86466471 = 37131731601
BaseRepresentation
bin1010010011101…
…01111110100111
320000200221200220
411021311332213
5134113411341
612325135423
72066644560
oct511657647
9200627626
1086466471
11448985a3
1224b5a573
1314bb57c0
14b6ab167
1578cea66
hex5275fa7

86466471 has 64 divisors (see below), whose sum is σ = 155344896. Its totient is φ = 41472000.

The previous prime is 86466469. The next prime is 86466481. The reversal of 86466471 is 17466468.

It is not a de Polignac number, because 86466471 - 21 = 86466469 is a prime.

It is a super-3 number, since 3×864664713 (a number of 25 digits) contains 333 as substring.

Its product of digits (193536) is a multiple of the sum of its prime divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86466431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143571 + ... + 144171.

It is an arithmetic number, because the mean of its divisors is an integer number (2427264).

Almost surely, 286466471 is an apocalyptic number.

86466471 is a deficient number, since it is larger than the sum of its proper divisors (68878425).

86466471 is a wasteful number, since it uses less digits than its factorization.

86466471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672.

The product of its digits is 193536, while the sum is 42.

The square root of 86466471 is about 9298.7349139547. The cubic root of 86466471 is about 442.1971217283.

The spelling of 86466471 in words is "eighty-six million, four hundred sixty-six thousand, four hundred seventy-one".

Divisors: 1 3 7 13 17 21 31 39 51 91 93 119 217 221 273 357 403 527 601 651 663 1209 1547 1581 1803 2821 3689 4207 4641 6851 7813 8463 10217 11067 12621 18631 20553 23439 30651 47957 54691 55893 71519 130417 132821 143871 164073 214557 242203 316727 391251 398463 726609 929747 950181 1695421 2217089 2789241 4117451 5086263 6651267 12352353 28822157 86466471