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81027738 = 232113143307
BaseRepresentation
bin1001101010001…
…10001010011010
312122110122011100
410311012022122
5131220341423
612012412230
72002503321
oct465061232
9178418140
1081027738
1141813380
1223177076
1313a3010c
14aa930b8
1571a8343
hex4d4629a

81027738 has 96 divisors (see below), whose sum is σ = 202954752. Its totient is φ = 23133600.

The previous prime is 81027733. The next prime is 81027773. The reversal of 81027738 is 83772018.

It is a super-3 number, since 3×810277383 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (81027733) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263781 + ... + 264087.

It is an arithmetic number, because the mean of its divisors is an integer number (2114112).

Almost surely, 281027738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81027738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101477376).

81027738 is an abundant number, since it is smaller than the sum of its proper divisors (121927014).

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

81027738 is a wasteful number, since it uses less digits than its factorization.

81027738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 81027738 is about 9001.5408680959. The cubic root of 81027738 is about 432.7242544909.

The spelling of 81027738 in words is "eighty-one million, twenty-seven thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 31 33 43 62 66 86 93 99 129 186 198 258 279 307 341 387 473 558 614 682 774 921 946 1023 1333 1419 1842 2046 2666 2763 2838 3069 3377 3999 4257 5526 6138 6754 7998 8514 9517 10131 11997 13201 14663 19034 20262 23994 26402 28551 29326 30393 39603 43989 57102 60786 79206 85653 87978 104687 118809 131967 145211 171306 209374 237618 263934 290422 314061 409231 435633 628122 818462 871266 942183 1227693 1306899 1884366 2455386 2613798 3683079 4501541 7366158 9003082 13504623 27009246 40513869 81027738