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86293269 = 3419471193
BaseRepresentation
bin1010010010010…
…11101100010101
320000101011010000
411021023230111
5134042341034
612321321513
72065323606
oct511135425
9200334100
1086293269
114478a457
1224a96299
1314b54a0a
14b663dad
157898599
hex524bb15

86293269 has 40 divisors (see below), whose sum is σ = 138695040. Its totient is φ = 53296704.

The previous prime is 86293247. The next prime is 86293271. The reversal of 86293269 is 96239268.

It is not a de Polignac number, because 86293269 - 28 = 86293013 is a prime.

It is a super-2 number, since 2×862932692 = 14893056549412722, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86293279) 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 39 ways as a sum of consecutive naturals, for example, 71737 + ... + 72929.

It is an arithmetic number, because the mean of its divisors is an integer number (3467376).

Almost surely, 286293269 is an apocalyptic number.

It is an amenable number.

86293269 is a deficient number, since it is larger than the sum of its proper divisors (52401771).

86293269 is a wasteful number, since it uses less digits than its factorization.

86293269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1262 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 86293269 is about 9289.4170430657. The cubic root of 86293269 is about 441.9016676213.

The spelling of 86293269 in words is "eighty-six million, two hundred ninety-three thousand, two hundred sixty-nine".

Divisors: 1 3 9 19 27 47 57 81 141 171 423 513 893 1193 1269 1539 2679 3579 3807 8037 10737 22667 24111 32211 56071 68001 72333 96633 168213 204003 504639 612009 1065349 1513917 1836027 3196047 4541751 9588141 28764423 86293269