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81350984 = 231113174789
BaseRepresentation
bin1001101100101…
…01000101001000
312200002001120102
410312111011020
5131311212414
612023344532
72005320611
oct466250510
9180061512
1081350984
1141a14220
12232b2148
1313b142a0
14ab38c08
15721dede
hex4d95148

81350984 has 128 divisors (see below), whose sum is σ = 195955200. Its totient is φ = 31088640.

The previous prime is 81350959. The next prime is 81351007. The reversal of 81350984 is 48905318.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 914012 + ... + 914100.

It is an arithmetic number, because the mean of its divisors is an integer number (1530900).

Almost surely, 281350984 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 81350984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97977600).

81350984 is an abundant number, since it is smaller than the sum of its proper divisors (114604216).

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

81350984 is a wasteful number, since it uses less digits than its factorization.

81350984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 81350984 is about 9019.4780336780. The cubic root of 81350984 is about 433.2989169248.

The spelling of 81350984 in words is "eighty-one million, three hundred fifty thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 13 17 22 26 34 44 47 52 68 88 89 94 104 136 143 178 187 188 221 286 356 374 376 442 517 572 611 712 748 799 884 979 1034 1144 1157 1222 1496 1513 1598 1768 1958 2068 2314 2431 2444 3026 3196 3916 4136 4183 4628 4862 4888 6052 6392 6721 7832 8366 8789 9256 9724 10387 12104 12727 13442 16643 16732 17578 19448 19669 20774 25454 26884 33286 33464 35156 39338 41548 46013 50908 53768 54379 66572 70312 71111 78676 83096 92026 101816 108758 114257 133144 142222 157352 184052 216359 217516 228514 284444 368104 432718 435032 457028 568888 598169 782221 865436 914056 924443 1196338 1564442 1730872 1848886 2392676 3128884 3697772 4785352 6257768 7395544 10168873 20337746 40675492 81350984