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86495409 = 32711139601
BaseRepresentation
bin1010010011111…
…01000010110001
320000202102101200
411021331002301
5134120323114
612325521413
72100125130
oct511750261
9200672350
1086495409
1144908310
1224b73269
1314bc5a20
14b6b7917
1578d8409
hex527d0b1

86495409 has 48 divisors (see below), whose sum is σ = 167766144. Its totient is φ = 41472000.

The previous prime is 86495393. The next prime is 86495419. The reversal of 86495409 is 90459468.

It is a happy number.

It is not a de Polignac number, because 86495409 - 24 = 86495393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86495419) 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 47 ways as a sum of consecutive naturals, for example, 4209 + ... + 13809.

It is an arithmetic number, because the mean of its divisors is an integer number (3495128).

Almost surely, 286495409 is an apocalyptic number.

It is an amenable number.

86495409 is a deficient number, since it is larger than the sum of its proper divisors (81270735).

86495409 is a wasteful number, since it uses less digits than its factorization.

86495409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9638 (or 9635 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 86495409 is about 9300.2908019051. The cubic root of 86495409 is about 442.2464467168.

The spelling of 86495409 in words is "eighty-six million, four hundred ninety-five thousand, four hundred nine".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 3003 9009 9601 28803 67207 86409 105611 124813 201621 316833 374439 604863 739277 873691 950499 1123317 1372943 2217831 2621073 4118829 6653493 7863219 9610601 12356487 28831803 86495409