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81256266 = 232713113439
BaseRepresentation
bin1001101011111…
…01111101001010
312122220020122100
410311331331022
5131300200031
612021334230
72004444510
oct465757512
9178806570
1081256266
114195a043
1223267376
1313ab0140
14ab124b0
157200de6
hex4d7df4a

81256266 has 96 divisors (see below), whose sum is σ = 219098880. Its totient is φ = 21192192.

The previous prime is 81256249. The next prime is 81256267. The reversal of 81256266 is 66265218.

81256266 is a `hidden beast` number, since 8 + 1 + 25 + 626 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 81256266.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81256267) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 184875 + ... + 185313.

It is an arithmetic number, because the mean of its divisors is an integer number (2282280).

Almost surely, 281256266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81256266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109549440).

81256266 is an abundant number, since it is smaller than the sum of its proper divisors (137842614).

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

81256266 is a wasteful number, since it uses less digits than its factorization.

81256266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 577 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 81256266 is about 9014.2257571019. The cubic root of 81256266 is about 433.1306864442.

The spelling of 81256266 in words is "eighty-one million, two hundred fifty-six thousand, two hundred sixty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 113 117 126 182 226 234 273 339 439 546 678 791 819 878 1017 1317 1469 1582 1638 2034 2373 2634 2938 3073 3951 4407 4746 5707 6146 7119 7902 8814 9219 10283 11414 13221 14238 17121 18438 20566 26442 27657 30849 34242 39949 49607 51363 55314 61698 79898 92547 99214 102726 119847 148821 185094 239694 297642 347249 359541 446463 644891 694498 719082 892926 1041747 1289782 1934673 2083494 3125241 3869346 4514237 5804019 6250482 9028474 11608038 13542711 27085422 40628133 81256266