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81409500 = 22325379229
BaseRepresentation
bin1001101101000…
…11010111011100
312200012000211200
410312203113130
5131320101000
612024515500
72005653324
oct466432734
9180160750
1081409500
1141a54187
122331bb90
1313b34b03
14ab52284
157231500
hex4da35dc

81409500 has 144 divisors (see below), whose sum is σ = 261206400. Its totient is φ = 21340800.

The previous prime is 81409487. The next prime is 81409511. The reversal of 81409500 is 590418.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355386 + ... + 355614.

Almost surely, 281409500 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 81409500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130603200).

81409500 is an abundant number, since it is smaller than the sum of its proper divisors (179796900).

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

81409500 is a wasteful number, since it uses less digits than its factorization.

81409500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 81409500 is about 9022.7213189813. The cubic root of 81409500 is about 433.4027830831.

Adding to 81409500 its reverse (590418), we get a palindrome (81999918).

The spelling of 81409500 in words is "eighty-one million, four hundred nine thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 79 90 100 125 150 158 180 225 229 237 250 300 316 375 395 450 458 474 500 687 711 750 790 900 916 948 1125 1145 1185 1374 1422 1500 1580 1975 2061 2250 2290 2370 2748 2844 3435 3555 3950 4122 4500 4580 4740 5725 5925 6870 7110 7900 8244 9875 10305 11450 11850 13740 14220 17175 17775 18091 19750 20610 22900 23700 28625 29625 34350 35550 36182 39500 41220 51525 54273 57250 59250 68700 71100 72364 85875 88875 90455 103050 108546 114500 118500 162819 171750 177750 180910 206100 217092 257625 271365 325638 343500 355500 361820 452275 515250 542730 651276 814095 904550 1030500 1085460 1356825 1628190 1809100 2261375 2713650 3256380 4070475 4522750 5427300 6784125 8140950 9045500 13568250 16281900 20352375 27136500 40704750 81409500