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81049248 = 253571489
BaseRepresentation
bin1001101010010…
…11011010100000
312122111201200000
410311023122200
5131222033443
612013100000
72002623120
oct465133240
9178451600
1081049248
1141828555
1223187600
1313a39b47
14aa9ac80
1571ae8d3
hex4d4b6a0

81049248 has 144 divisors (see below), whose sum is σ = 273349440. Its totient is φ = 23141376.

The previous prime is 81049247. The next prime is 81049253. The reversal of 81049248 is 84294018.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (81049247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53688 + ... + 55176.

It is an arithmetic number, because the mean of its divisors is an integer number (1898260).

Almost surely, 281049248 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 81049248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136674720).

81049248 is an abundant number, since it is smaller than the sum of its proper divisors (192300192).

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

81049248 is a wasteful number, since it uses less digits than its factorization.

81049248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 81049248 is about 9002.7355842544. The cubic root of 81049248 is about 432.7625421005.

The spelling of 81049248 in words is "eighty-one million, forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1489 1512 1701 1944 2016 2268 2592 2978 3024 3402 3888 4467 4536 5956 6048 6804 7776 8934 9072 10423 11912 13401 13608 17868 18144 20846 23824 26802 27216 31269 35736 40203 41692 47648 53604 54432 62538 71472 80406 83384 93807 107208 120609 125076 142944 160812 166768 187614 214416 241218 250152 281421 321624 333536 361827 375228 428832 482436 500304 562842 643248 723654 750456 844263 964872 1000608 1125684 1286496 1447308 1500912 1688526 1929744 2251368 2532789 2894616 3001824 3377052 3859488 4502736 5065578 5789232 6754104 9005472 10131156 11578464 13508208 20262312 27016416 40524624 81049248