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86048312 = 2372317397
BaseRepresentation
bin1010010000011…
…11111000111000
312222220201002112
411020033320320
5134012021222
612312151452
72063253500
oct510177070
9188821075
1086048312
1144632409
1224998588
1314a9a37c
14b5dca00
15784abe2
hex520fe38

86048312 has 96 divisors (see below), whose sum is σ = 198414720. Its totient is φ = 34836480.

The previous prime is 86048311. The next prime is 86048371. The reversal of 86048312 is 21384068.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86048311) 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 23 ways as a sum of consecutive naturals, for example, 887048 + ... + 887144.

It is an arithmetic number, because the mean of its divisors is an integer number (2066820).

Almost surely, 286048312 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 86048312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99207360).

86048312 is an abundant number, since it is smaller than the sum of its proper divisors (112366408).

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

86048312 is a wasteful number, since it uses less digits than its factorization.

86048312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 86048312 is about 9276.2229382438. Note that the first 3 decimals coincide. The cubic root of 86048312 is about 441.4831355806.

The spelling of 86048312 in words is "eighty-six million, forty-eight thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 73 97 98 124 146 194 196 217 248 292 388 392 434 511 584 679 776 868 1022 1358 1519 1736 2044 2263 2716 3007 3038 3577 4088 4526 4753 5432 6014 6076 7081 7154 9052 9506 12028 12152 14162 14308 15841 18104 19012 21049 24056 28324 28616 31682 38024 42098 49567 56648 63364 84196 99134 110887 126728 147343 168392 198268 219511 221774 294686 346969 396536 439022 443548 589372 693938 878044 887096 1178744 1387876 1536577 1756088 2775752 3073154 6146308 10756039 12292616 21512078 43024156 86048312