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81776112 = 24311612539
BaseRepresentation
bin1001101111111…
…00110111110000
312200212122201220
410313330313300
5131413313422
612040425040
72012041215
oct467746760
9180778656
1081776112
1142184670
1223478180
1313c32942
14ac09b0c
1572a4e5c
hex4dfcdf0

81776112 has 80 divisors (see below), whose sum is σ = 234330240. Its totient is φ = 24364800.

The previous prime is 81776087. The next prime is 81776159. The reversal of 81776112 is 21167718.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 30939 + ... + 33477.

It is an arithmetic number, because the mean of its divisors is an integer number (2929128).

Almost surely, 281776112 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 81776112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117165120).

81776112 is an abundant number, since it is smaller than the sum of its proper divisors (152554128).

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

81776112 is a wasteful number, since it uses less digits than its factorization.

81776112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2616 counting only the distinct ones).

The product of its digits is 4704, while the sum is 33.

The square root of 81776112 is about 9043.0145416227. The cubic root of 81776112 is about 434.0523909089.

The spelling of 81776112 in words is "eighty-one million, seven hundred seventy-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 61 66 88 122 132 176 183 244 264 366 488 528 671 732 976 1342 1464 2013 2539 2684 2928 4026 5078 5368 7617 8052 10156 10736 15234 16104 20312 27929 30468 32208 40624 55858 60936 83787 111716 121872 154879 167574 223432 309758 335148 446864 464637 619516 670296 929274 1239032 1340592 1703669 1858548 2478064 3407338 3717096 5111007 6814676 7434192 10222014 13629352 20444028 27258704 40888056 81776112