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81288132 = 223113151397
BaseRepresentation
bin1001101100001…
…01101111000100
312122221212100120
410312011233010
5131302210012
612022141540
72004636432
oct466055704
9178855316
1081288132
1141980a82
12232818b0
1313ac17b3
14ab1dd52
15720a58c
hex4d85bc4

81288132 has 48 divisors (see below), whose sum is σ = 193103232. Its totient is φ = 26611200.

The previous prime is 81288089. The next prime is 81288139. The reversal of 81288132 is 23188218.

It is a junction number, because it is equal to n+sod(n) for n = 81288093 and 81288102.

It is not an unprimeable number, because it can be changed into a prime (81288139) 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 15 ways as a sum of consecutive naturals, for example, 204558 + ... + 204954.

It is an arithmetic number, because the mean of its divisors is an integer number (4022984).

Almost surely, 281288132 is an apocalyptic number.

It is an amenable number.

81288132 is an abundant number, since it is smaller than the sum of its proper divisors (111815100).

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

81288132 is a wasteful number, since it uses less digits than its factorization.

81288132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 666 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The square root of 81288132 is about 9015.9931233337. The cubic root of 81288132 is about 433.1872988520.

The spelling of 81288132 in words is "eighty-one million, two hundred eighty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 113 151 226 302 339 397 452 453 604 678 794 906 1191 1356 1588 1812 2382 4764 17063 34126 44861 51189 59947 68252 89722 102378 119894 134583 179444 179841 204756 239788 269166 359682 538332 719364 6774011 13548022 20322033 27096044 40644066 81288132