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81000468 = 22322250013
BaseRepresentation
bin1001101001111…
…11100000010100
312122102020202100
410310333200110
5131214003333
612012042100
72002330653
oct464774024
9178366670
1081000468
11417a493a
1223163330
1313a20893
14aa8719a
1571a0213
hex4d3f814

81000468 has 18 divisors (see below), whose sum is σ = 204751274. Its totient is φ = 27000144.

The previous prime is 81000467. The next prime is 81000481. The reversal of 81000468 is 86400018.

It can be written as a sum of positive squares in only one way, i.e., 62441604 + 18558864 = 7902^2 + 4308^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×810004682 = 13122151632438048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81000463) 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 5 ways as a sum of consecutive naturals, for example, 1124971 + ... + 1125042.

Almost surely, 281000468 is an apocalyptic number.

It is an amenable number.

81000468 is an abundant number, since it is smaller than the sum of its proper divisors (123750806).

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

81000468 is a wasteful number, since it uses less digits than its factorization.

81000468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250023 (or 2250018 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 81000468 is about 9000.0259999624. The cubic root of 81000468 is about 432.6757043904.

The spelling of 81000468 in words is "eighty-one million, four hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 2250013 4500026 6750039 9000052 13500078 20250117 27000156 40500234 81000468