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86273712 = 24327212227
BaseRepresentation
bin1010010010001…
…10111010110000
320000100011021200
411021012322300
5134041224322
612321051200
72065212600
oct511067260
9200304250
1086273712
1144776798
1224a86b00
1314b48b45
14b65ac00
1578928ac
hex5246eb0

86273712 has 90 divisors (see below), whose sum is σ = 280889388. Its totient is φ = 24647616.

The previous prime is 86273711. The next prime is 86273723. The reversal of 86273712 is 21737268.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (86273711) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 943 + ... + 13169.

Almost surely, 286273712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86273712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140444694).

86273712 is an abundant number, since it is smaller than the sum of its proper divisors (194615676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86273712 is a wasteful number, since it uses less digits than its factorization.

86273712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12255 (or 12239 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 86273712 is about 9288.3643339395. The cubic root of 86273712 is about 441.8682817656.

The spelling of 86273712 in words is "eighty-six million, two hundred seventy-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 12227 24454 36681 48908 73362 85589 97816 110043 146724 171178 195632 220086 256767 293448 342356 440172 513534 586896 599123 684712 770301 880344 1027068 1198246 1369424 1540602 1760688 1797369 2054136 2396492 3081204 3594738 4108272 4792984 5392107 6162408 7189476 9585968 10784214 12324816 14378952 21568428 28757904 43136856 86273712