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86283672 = 23323672333
BaseRepresentation
bin1010010010010…
…01010110011000
320000100122221120
411021021112120
5134042034142
612321205240
72065253616
oct511112630
9200318846
1086283672
1144783222
1224a90820
1314b50537
14b6606b6
1578957ec
hex5249598

86283672 has 64 divisors (see below), whose sum is σ = 228545280. Its totient is φ = 27088512.

The previous prime is 86283661. The next prime is 86283679. The reversal of 86283672 is 27638268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86283679) 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 15 ways as a sum of consecutive naturals, for example, 35818 + ... + 38150.

It is an arithmetic number, because the mean of its divisors is an integer number (3571020).

Almost surely, 286283672 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 86283672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114272640).

86283672 is an abundant number, since it is smaller than the sum of its proper divisors (142261608).

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

86283672 is a wasteful number, since it uses less digits than its factorization.

86283672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2428 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 86283672 is about 9288.9004731454. The cubic root of 86283672 is about 441.8852851635.

The spelling of 86283672 in words is "eighty-six million, two hundred eighty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 67 69 92 134 138 184 201 268 276 402 536 552 804 1541 1608 2333 3082 4623 4666 6164 6999 9246 9332 12328 13998 18492 18664 27996 36984 53659 55992 107318 156311 160977 214636 312622 321954 429272 468933 625244 643908 937866 1250488 1287816 1875732 3595153 3751464 7190306 10785459 14380612 21570918 28761224 43141836 86283672