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81327272 = 23134119073
BaseRepresentation
bin1001101100011…
…11010010101000
312200000212001012
410312033102220
5131304433042
612023043052
72005161515
oct466172250
9180025035
1081327272
11419a8424
12232a0488
1313b06560
14ab3030c
157216e82
hex4d8f4a8

81327272 has 32 divisors (see below), whose sum is σ = 168232680. Its totient is φ = 36618240.

The previous prime is 81327271. The next prime is 81327293. The reversal of 81327272 is 27272318.

It can be written as a sum of positive squares in 4 ways, for example, as 10329796 + 70997476 = 3214^2 + 8426^2 .

It is a super-2 number, since 2×813272722 = 13228250341923968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (81327271) 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 7 ways as a sum of consecutive naturals, for example, 5273 + ... + 13800.

Almost surely, 281327272 is an apocalyptic number.

81327272 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

81327272 is an abundant number, since it is smaller than the sum of its proper divisors (86905408).

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

81327272 is a wasteful number, since it uses less digits than its factorization.

81327272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19133 (or 19129 counting only the distinct ones).

The product of its digits is 9408, while the sum is 32.

The square root of 81327272 is about 9018.1634493948. The cubic root of 81327272 is about 433.2568138391.

The spelling of 81327272 in words is "eighty-one million, three hundred twenty-seven thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 328 533 1066 2132 4264 19073 38146 76292 152584 247949 495898 781993 991796 1563986 1983592 3127972 6255944 10165909 20331818 40663636 81327272