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81095256 = 23341131367
BaseRepresentation
bin1001101010101…
…10101001011000
312122121001210000
410311112221120
5131230022011
612014053000
72003204214
oct465265130
9178531700
1081095256
114185a080
12231aa160
1313a54a78
14aaad944
1571bd356
hex4d56a58

81095256 has 160 divisors (see below), whose sum is σ = 256481280. Its totient is φ = 23716800.

The previous prime is 81095251. The next prime is 81095269. The reversal of 81095256 is 65259018.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 81095256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81095251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 220785 + ... + 221151.

It is an arithmetic number, because the mean of its divisors is an integer number (1603008).

Almost surely, 281095256 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 81095256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128240640).

81095256 is an abundant number, since it is smaller than the sum of its proper divisors (175386024).

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

81095256 is a wasteful number, since it uses less digits than its factorization.

81095256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 81095256 is about 9005.2904450662. The cubic root of 81095256 is about 432.8444131985.

The spelling of 81095256 in words is "eighty-one million, ninety-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 81 88 93 99 108 124 132 162 186 198 216 248 264 279 297 324 341 367 372 396 558 594 648 682 734 744 792 837 891 1023 1101 1116 1188 1364 1468 1674 1782 2046 2202 2232 2376 2511 2728 2936 3069 3303 3348 3564 4037 4092 4404 5022 6138 6606 6696 7128 8074 8184 8808 9207 9909 10044 11377 12111 12276 13212 16148 18414 19818 20088 22754 24222 24552 26424 27621 29727 32296 34131 36333 36828 39636 45508 48444 55242 59454 68262 72666 73656 79272 91016 96888 102393 108999 110484 118908 125147 136524 145332 204786 217998 220968 237816 250294 273048 290664 307179 326997 375441 409572 435996 500588 614358 653994 750882 819144 871992 921537 1001176 1126323 1228716 1307988 1501764 1843074 2252646 2457432 2615976 3003528 3378969 3686148 4505292 6757938 7372296 9010584 10136907 13515876 20273814 27031752 40547628 81095256