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81215442 = 23272112761
BaseRepresentation
bin1001101011100…
…11111111010010
312122211011122100
410311303333102
5131242343232
612020421230
72004214500
oct465637722
9178734570
1081215442
1141931400
1223247816
1313a97699
14ab01670
1571e3c7c
hex4d73fd2

81215442 has 108 divisors (see below), whose sum is σ = 225292158. Its totient is φ = 21067200.

The previous prime is 81215371. The next prime is 81215467. The reversal of 81215442 is 24451218.

81215442 is a `hidden beast` number, since 8 + 1 + 215 + 442 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81162081 + 53361 = 9009^2 + 231^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 106342 + ... + 107102.

Almost surely, 281215442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81215442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112646079).

81215442 is an abundant number, since it is smaller than the sum of its proper divisors (144076716).

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

81215442 is a wasteful number, since it uses less digits than its factorization.

81215442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 784 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 81215442 is about 9011.9610518466. The cubic root of 81215442 is about 433.0581378271.

The spelling of 81215442 in words is "eighty-one million, two hundred fifteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 121 126 147 154 198 231 242 294 363 441 462 539 693 726 761 847 882 1078 1089 1386 1522 1617 1694 2178 2283 2541 3234 4566 4851 5082 5327 5929 6849 7623 8371 9702 10654 11858 13698 15246 15981 16742 17787 25113 31962 35574 37289 47943 50226 53361 58597 74578 75339 92081 95886 106722 111867 117194 150678 175791 184162 223734 276243 335601 351582 410179 527373 552486 644567 671202 820358 828729 1054746 1230537 1289134 1657458 1933701 2461074 3691611 3867402 4511969 5801103 7383222 9023938 11602206 13535907 27071814 40607721 81215442