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81939384 = 233329103127
BaseRepresentation
bin1001110001001…
…00101110111000
312201011221201000
410320210232320
5131434030014
612044125000
72013321222
oct470445670
9181157630
1081939384
11422862aa
1223536760
1313c8c057
14ac4d412
1572d8509
hex4e24bb8

81939384 has 128 divisors (see below), whose sum is σ = 239616000. Its totient is φ = 25909632.

The previous prime is 81939373. The next prime is 81939391. The reversal of 81939384 is 48393918.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 645129 + ... + 645255.

It is an arithmetic number, because the mean of its divisors is an integer number (1872000).

Almost surely, 281939384 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 81939384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119808000).

81939384 is an abundant number, since it is smaller than the sum of its proper divisors (157676616).

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

81939384 is a wasteful number, since it uses less digits than its factorization.

81939384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 81939384 is about 9052.0375606821. The cubic root of 81939384 is about 434.3410713385.

The spelling of 81939384 in words is "eighty-one million, nine hundred thirty-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 103 108 116 127 174 206 216 232 254 261 309 348 381 412 508 522 618 696 762 783 824 927 1016 1044 1143 1236 1524 1566 1854 2088 2286 2472 2781 2987 3048 3132 3429 3683 3708 4572 5562 5974 6264 6858 7366 7416 8961 9144 11049 11124 11948 13081 13716 14732 17922 22098 22248 23896 26162 26883 27432 29464 33147 35844 39243 44196 52324 53766 66294 71688 78486 80649 88392 99441 104648 107532 117729 132588 156972 161298 198882 215064 235458 265176 313944 322596 353187 379349 397764 470916 645192 706374 758698 795528 941832 1138047 1412748 1517396 2276094 2825496 3034792 3414141 4552188 6828282 9104376 10242423 13656564 20484846 27313128 40969692 81939384