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81243648 = 2935653
BaseRepresentation
bin1001101011110…
…10111000000000
312122212121100000
410311322320000
5131244244043
612021200000
72004362643
oct465727000
9178777300
1081243648
1141950612
1223260000
1313aa7485
14ab0ba5a
1571ec2d3
hex4d7ae00

81243648 has 120 divisors (see below), whose sum is σ = 243531288. Its totient is φ = 27039744.

The previous prime is 81243607. The next prime is 81243661. The reversal of 81243648 is 84634218.

81243648 is a `hidden beast` number, since 8 + 1 + 2 + 4 + 3 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124090 + ... + 124742.

Almost surely, 281243648 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 81243648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121765644).

81243648 is an abundant number, since it is smaller than the sum of its proper divisors (162287640).

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

81243648 is an frugal number, since it uses more digits than its factorization.

81243648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 658 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 81243648 is about 9013.5258362086. The cubic root of 81243648 is about 433.1082655029.

The spelling of 81243648 in words is "eighty-one million, two hundred forty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 653 768 864 972 1152 1296 1306 1536 1728 1944 1959 2304 2592 2612 3456 3888 3918 4608 5184 5224 5877 6912 7776 7836 10368 10448 11754 13824 15552 15672 17631 20736 20896 23508 31104 31344 35262 41472 41792 47016 52893 62208 62688 70524 83584 94032 105786 124416 125376 141048 158679 167168 188064 211572 250752 282096 317358 334336 376128 423144 501504 564192 634716 752256 846288 1003008 1128384 1269432 1504512 1692576 2256768 2538864 3009024 3385152 4513536 5077728 6770304 9027072 10155456 13540608 20310912 27081216 40621824 81243648