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81066438 = 232174361101
BaseRepresentation
bin1001101010011…
…11100111000110
312122112121020200
410311033213012
5131223111223
612013311330
72003024205
oct465174706
9178477220
1081066438
114183a462
1223195546
1313a4490b
14aaa323c
1571b4a43
hex4d4f9c6

81066438 has 96 divisors (see below), whose sum is σ = 195335712. Its totient is φ = 24192000.

The previous prime is 81066409. The next prime is 81066473. The reversal of 81066438 is 83466018.

It is a happy number.

81066438 is a `hidden beast` number, since 8 + 1 + 0 + 6 + 643 + 8 = 666.

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, 802588 + ... + 802688.

It is an arithmetic number, because the mean of its divisors is an integer number (2034747).

Almost surely, 281066438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81066438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97667856).

81066438 is an abundant number, since it is smaller than the sum of its proper divisors (114269274).

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

81066438 is a wasteful number, since it uses less digits than its factorization.

81066438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 81066438 is about 9003.6902434502. The cubic root of 81066438 is about 432.7931352786.

The spelling of 81066438 in words is "eighty-one million, sixty-six thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 43 51 61 86 101 102 122 129 153 183 202 258 303 306 366 387 549 606 731 774 909 1037 1098 1462 1717 1818 2074 2193 2623 3111 3434 4343 4386 5151 5246 6161 6222 6579 7869 8686 9333 10302 12322 13029 13158 15453 15738 18483 18666 23607 26058 30906 36966 39087 44591 47214 55449 73831 78174 89182 104737 110898 133773 147662 209474 221493 264923 267546 314211 401319 442986 529846 628422 664479 794769 802638 942633 1328958 1589538 1885266 2384307 4503691 4768614 9007382 13511073 27022146 40533219 81066438