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81287448 = 233111631889
BaseRepresentation
bin1001101100001…
…01100100011000
312122221211102020
410312011210120
5131302144243
612022134440
72004634434
oct466054430
9178854366
1081287448
1141980510
1223281420
1313ac13a8
14ab1d9c4
15720a283
hex4d85918

81287448 has 64 divisors (see below), whose sum is σ = 223171200. Its totient is φ = 24468480.

The previous prime is 81287447. The next prime is 81287467. The reversal of 81287448 is 84478218.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81287447) 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 15 ways as a sum of consecutive naturals, for example, 42088 + ... + 43976.

It is an arithmetic number, because the mean of its divisors is an integer number (3487050).

Almost surely, 281287448 is an apocalyptic number.

81287448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81287448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111585600).

81287448 is an abundant number, since it is smaller than the sum of its proper divisors (141883752).

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

81287448 is a wasteful number, since it uses less digits than its factorization.

81287448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2068 counting only the distinct ones).

The product of its digits is 114688, while the sum is 42.

The square root of 81287448 is about 9015.9551906606. The cubic root of 81287448 is about 433.1860838286.

It can be divided in two parts, 8128 and 7448, that added together give a triangular number (15576 = T176).

The spelling of 81287448 in words is "eighty-one million, two hundred eighty-seven thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 163 264 326 489 652 978 1304 1793 1889 1956 3586 3778 3912 5379 5667 7172 7556 10758 11334 14344 15112 20779 21516 22668 41558 43032 45336 62337 83116 124674 166232 249348 307907 498696 615814 923721 1231628 1847442 2463256 3386977 3694884 6773954 7389768 10160931 13547908 20321862 27095816 40643724 81287448