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86442300 = 223252713721
BaseRepresentation
bin1010010011100…
…00000100111100
320000122201112200
411021300010330
5134112123200
612324431500
72066514240
oct511600474
9200581480
1086442300
114488141a
1224b48590
1314ba77b9
14b6a2420
1578c7800
hex527013c

86442300 has 108 divisors (see below), whose sum is σ = 309678096. Its totient is φ = 19756800.

The previous prime is 86442299. The next prime is 86442313. The reversal of 86442300 is 324468.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 561 + ... + 13160.

Almost surely, 286442300 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 86442300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154839048).

86442300 is an abundant number, since it is smaller than the sum of its proper divisors (223235796).

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

86442300 is a wasteful number, since it uses less digits than its factorization.

86442300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13748 (or 13738 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 86442300 is about 9297.4351301851. The cubic root of 86442300 is about 442.1559136831.

Adding to 86442300 its reverse (324468), we get a palindrome (86766768).

The spelling of 86442300 in words is "eighty-six million, four hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 13721 27442 41163 54884 68605 82326 96047 123489 137210 164652 192094 205815 246978 274420 288141 343025 384188 411630 480235 493956 576282 617445 686050 823260 864423 960470 1029075 1152564 1234890 1372100 1440705 1728846 1920940 2058150 2401175 2469780 2881410 3087225 3457692 4116300 4322115 4802350 5762820 6174450 7203525 8644230 9604700 12348900 14407050 17288460 21610575 28814100 43221150 86442300