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86093442 = 2316
BaseRepresentation
bin1010010000110…
…10111010000010
320000000000000000
411020122322002
5134014442232
612313140430
72063532201
oct510327202
9200000000
1086093442
1144663306
12249ba716
1314ab4a86
14b611238
15785927c
hex521ae82

86093442 has 34 divisors (see below), whose sum is σ = 193710243. Its totient is φ = 28697814.

The previous prime is 86093369. The next prime is 86093443. The reversal of 86093442 is 24439068.

It is a happy number.

86093442 is a `hidden beast` number, since 8 + 609 + 3 + 4 + 42 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43046721 + 43046721 = 6561^2 + 6561^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=6561.

It is a nialpdrome in base 3 and base 9.

It is a junction number, because it is equal to n+sod(n) for n = 86093397 and 86093406.

It is not an unprimeable number, because it can be changed into a prime (86093443) 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 16 ways as a sum of consecutive naturals, for example, 28697813 + 28697814 + 28697815.

Almost surely, 286093442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86093442

86093442 is an abundant number, since it is smaller than the sum of its proper divisors (107616801).

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

86093442 is an frugal number, since it uses more digits than its factorization.

86093442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 86093442 is about 9278.6551827299. The cubic root of 86093442 is about 441.5603040582.

Multiplying 86093442 by its sum of digits (36), we get a cube (3099363912 = 14583).

Multiplying 86093442 by its product of nonzero digits (41472), we get a 10-th power (3570467226624 = 1810).

The spelling of 86093442 in words is "eighty-six million, ninety-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 4374 6561 13122 19683 39366 59049 118098 177147 354294 531441 1062882 1594323 3188646 4782969 9565938 14348907 28697814 43046721 86093442