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86706648 = 23327891933
BaseRepresentation
bin1010010101100…
…00100111011000
320001011011011100
411022300213120
5134144103043
612334231400
72101665030
oct512604730
9201134140
1086706648
1144a41a96
1225055560
1314c6ac12
14b7308c0
15792acd3
hex52b09d8

86706648 has 96 divisors (see below), whose sum is σ = 271533600. Its totient is φ = 24482304.

The previous prime is 86706617. The next prime is 86706649. The reversal of 86706648 is 84660768.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86706649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43890 + ... + 45822.

It is an arithmetic number, because the mean of its divisors is an integer number (2828475).

Almost surely, 286706648 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 86706648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135766800).

86706648 is an abundant number, since it is smaller than the sum of its proper divisors (184826952).

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

86706648 is a wasteful number, since it uses less digits than its factorization.

86706648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 86706648 is about 9311.6404569764. The cubic root of 86706648 is about 442.6061719763.

The spelling of 86706648 in words is "eighty-six million, seven hundred six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 89 126 168 178 252 267 356 504 534 623 712 801 1068 1246 1602 1869 1933 2136 2492 3204 3738 3866 4984 5607 5799 6408 7476 7732 11214 11598 13531 14952 15464 17397 22428 23196 27062 34794 40593 44856 46392 54124 69588 81186 108248 121779 139176 162372 172037 243558 324744 344074 487116 516111 688148 974232 1032222 1204259 1376296 1548333 2064444 2408518 3096666 3612777 4128888 4817036 6193332 7225554 9634072 10838331 12386664 14451108 21676662 28902216 43353324 86706648