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86284377 = 32193141397
BaseRepresentation
bin1010010010010…
…01100001011001
320000100200220200
411021021201121
5134042100002
612321212413
72065255644
oct511114131
9200320820
1086284377
1144783803
1224a91109
1314b5095a
14b660a5b
157895b1c
hex5249859

86284377 has 48 divisors (see below), whose sum is σ = 139077120. Its totient is φ = 51321600.

The previous prime is 86284361. The next prime is 86284399. The reversal of 86284377 is 77348268.

It is a happy number.

It is not a de Polignac number, because 86284377 - 24 = 86284361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86284307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217143 + ... + 217539.

It is an arithmetic number, because the mean of its divisors is an integer number (2897440).

Almost surely, 286284377 is an apocalyptic number.

It is an amenable number.

86284377 is a deficient number, since it is larger than the sum of its proper divisors (52792743).

86284377 is a wasteful number, since it uses less digits than its factorization.

86284377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 491 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 86284377 is about 9288.9384215851. The cubic root of 86284377 is about 441.8864886676.

The spelling of 86284377 in words is "eighty-six million, two hundred eighty-four thousand, three hundred seventy-seven".

Divisors: 1 3 9 19 31 41 57 93 123 171 279 369 397 589 779 1191 1271 1767 2337 3573 3813 5301 7011 7543 11439 12307 16277 22629 24149 36921 48831 67887 72447 110763 146493 217341 233833 309263 504587 701499 927789 1513761 2104497 2783367 4541283 9587153 28761459 86284377