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81312608 = 2513712753
BaseRepresentation
bin1001101100010…
…11101101100000
312200000002221002
410312023231200
5131304000413
612022451132
72005100666
oct466135540
9180002832
1081312608
1141998403
1223293aa8
1313acc990
14ab28c36
157212958
hex4d8bb60

81312608 has 48 divisors (see below), whose sum is σ = 174890016. Its totient is φ = 36986880.

The previous prime is 81312599. The next prime is 81312619. The reversal of 81312608 is 80621318.

It is a super-2 number, since 2×813126082 = 13223480439523328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 28160 + ... + 30912.

It is an arithmetic number, because the mean of its divisors is an integer number (3643542).

Almost surely, 281312608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81312608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87445008).

81312608 is an abundant number, since it is smaller than the sum of its proper divisors (93577408).

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

81312608 is a wasteful number, since it uses less digits than its factorization.

81312608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2847 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 81312608 is about 9017.3503868930. The cubic root of 81312608 is about 433.2307723090.

The spelling of 81312608 in words is "eighty-one million, three hundred twelve thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 71 104 142 208 284 416 568 923 1136 1846 2272 2753 3692 5506 7384 11012 14768 22024 29536 35789 44048 71578 88096 143156 195463 286312 390926 572624 781852 1145248 1563704 2541019 3127408 5082038 6254816 10164076 20328152 40656304 81312608