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86050512 = 243467991
BaseRepresentation
bin1010010000100…
…00011011010000
312222220211010000
411020100123100
5134012104022
612312210000
72063263062
oct510203320
9188824100
1086050512
1144634029
1224999900
1314a9b382
14b5dd732
15784b6ac
hex52106d0

86050512 has 100 divisors (see below), whose sum is σ = 253027456. Its totient is φ = 28226880.

The previous prime is 86050507. The next prime is 86050529. The reversal of 86050512 is 21505068.

86050512 is a `hidden beast` number, since 8 + 605 + 0 + 51 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 86337 + ... + 87327.

Almost surely, 286050512 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 86050512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126513728).

86050512 is an abundant number, since it is smaller than the sum of its proper divisors (166976944).

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

86050512 is a wasteful number, since it uses less digits than its factorization.

86050512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 86050512 is about 9276.3415202331. The cubic root of 86050512 is about 441.4868980198.

The spelling of 86050512 in words is "eighty-six million, fifty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 81 108 134 144 162 201 216 268 324 402 432 536 603 648 804 991 1072 1206 1296 1608 1809 1982 2412 2973 3216 3618 3964 4824 5427 5946 7236 7928 8919 9648 10854 11892 14472 15856 17838 21708 23784 26757 28944 35676 43416 47568 53514 66397 71352 80271 86832 107028 132794 142704 160542 199191 214056 265588 321084 398382 428112 531176 597573 642168 796764 1062352 1195146 1284336 1593528 1792719 2390292 3187056 3585438 4780584 5378157 7170876 9561168 10756314 14341752 21512628 28683504 43025256 86050512