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86046894 = 23317671399
BaseRepresentation
bin1010010000011…
…11100010101110
312222220122011000
411020033202232
5134012000034
612312141130
72063246403
oct510174256
9188818130
1086046894
114463133a
12249977a6
1314a9982b
14b5dc2aa
15784a599
hex520f8ae

86046894 has 64 divisors (see below), whose sum is σ = 205632000. Its totient is φ = 26573184.

The previous prime is 86046893. The next prime is 86046923. The reversal of 86046894 is 49864068.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86046893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60807 + ... + 62205.

It is an arithmetic number, because the mean of its divisors is an integer number (3213000).

Almost surely, 286046894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86046894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102816000).

86046894 is an abundant number, since it is smaller than the sum of its proper divisors (119585106).

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

86046894 is a wasteful number, since it uses less digits than its factorization.

86046894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 86046894 is about 9276.1465059582. The cubic root of 86046894 is about 441.4807104836.

The spelling of 86046894 in words is "eighty-six million, forty-six thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 67 102 134 153 201 306 402 459 603 918 1139 1206 1399 1809 2278 2798 3417 3618 4197 6834 8394 10251 12591 20502 23783 25182 30753 37773 47566 61506 71349 75546 93733 142698 187466 214047 281199 428094 562398 642141 843597 1284282 1593461 1687194 2530791 3186922 4780383 5061582 9560766 14341149 28682298 43023447 86046894