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86442228 = 2234266797
BaseRepresentation
bin1010010011100…
…00000011110100
320000122201110000
411021300003310
5134112122403
612324431300
72066514105
oct511600364
9200581400
1086442228
1144881364
1224b48530
1314ba7762
14b6a23ac
1578c77a3
hex52700f4

86442228 has 30 divisors (see below), whose sum is σ = 225977906. Its totient is φ = 28813968.

The previous prime is 86442193. The next prime is 86442241. The reversal of 86442228 is 82224468.

It is a happy number.

86442228 is a `hidden beast` number, since 8 + 644 + 2 + 2 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85599504 + 842724 = 9252^2 + 918^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 86442192 and 86442201.

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 9 ways as a sum of consecutive naturals, for example, 133075 + ... + 133722.

Almost surely, 286442228 is an apocalyptic number.

It is an amenable number.

86442228 is an abundant number, since it is smaller than the sum of its proper divisors (139535678).

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

86442228 is a wasteful number, since it uses less digits than its factorization.

86442228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266813 (or 266802 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 86442228 is about 9297.4312581487. The cubic root of 86442228 is about 442.1557909221.

The spelling of 86442228 in words is "eighty-six million, four hundred forty-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 266797 533594 800391 1067188 1600782 2401173 3201564 4802346 7203519 9604692 14407038 21610557 28814076 43221114 86442228