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81488106 = 2357171409
BaseRepresentation
bin1001101101101…
…10100011101010
312200100000200000
410312312203222
5131330104411
612030323430
72006431440
oct466664352
9180300600
1081488106
1141aa8247
1223359576
1313b6181b
14ab72b90
157249956
hex4db68ea

81488106 has 96 divisors (see below), whose sum is σ = 221719680. Its totient is φ = 21897216.

The previous prime is 81488087. The next prime is 81488111. The reversal of 81488106 is 60188418.

It is a super-2 number, since 2×814881062 = 13280622838934472, which contains 22 as substring.

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, 57130 + ... + 58538.

It is an arithmetic number, because the mean of its divisors is an integer number (2309580).

Almost surely, 281488106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81488106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110859840).

81488106 is an abundant number, since it is smaller than the sum of its proper divisors (140231574).

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

81488106 is a wasteful number, since it uses less digits than its factorization.

81488106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 81488106 is about 9027.0762708642. The cubic root of 81488106 is about 433.5422307729.

The spelling of 81488106 in words is "eighty-one million, four hundred eighty-eight thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 243 306 357 378 459 486 567 714 918 1071 1134 1377 1409 1701 2142 2754 2818 3213 3402 4131 4227 6426 8262 8454 9639 9863 12681 19278 19726 23953 25362 28917 29589 38043 47906 57834 59178 71859 76086 88767 114129 143718 167671 177534 215577 228258 266301 335342 342387 431154 503013 532602 646731 684774 798903 1006026 1293462 1509039 1597806 1940193 2396709 3018078 3880386 4527117 4793418 5820579 9054234 11641158 13581351 27162702 40744053 81488106