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81033696 = 253517613
BaseRepresentation
bin1001101010001…
…11100111100000
312122110221100000
410311013213200
5131221034241
612012500000
72002526562
oct465074740
9178427300
1081033696
11418178a7
122317a600
1313a32a43
14aa95332
1571a9eb6
hex4d479e0

81033696 has 144 divisors (see below), whose sum is σ = 253444464. Its totient is φ = 25380864.

The previous prime is 81033691. The next prime is 81033709. The reversal of 81033696 is 69633018.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 81033696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81033691) 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 23 ways as a sum of consecutive naturals, for example, 131886 + ... + 132498.

It is an arithmetic number, because the mean of its divisors is an integer number (1760031).

Almost surely, 281033696 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 81033696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126722232).

81033696 is an abundant number, since it is smaller than the sum of its proper divisors (172410768).

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

81033696 is a wasteful number, since it uses less digits than its factorization.

81033696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 81033696 is about 9001.8718053525. The cubic root of 81033696 is about 432.7348603566.

The spelling of 81033696 in words is "eighty-one million, thirty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 243 272 288 306 324 408 432 459 486 544 612 613 648 816 864 918 972 1224 1226 1296 1377 1632 1836 1839 1944 2448 2452 2592 2754 3672 3678 3888 4131 4896 4904 5508 5517 7344 7356 7776 8262 9808 10421 11016 11034 14688 14712 16524 16551 19616 20842 22032 22068 29424 31263 33048 33102 41684 44064 44136 49653 58848 62526 66096 66204 83368 88272 93789 99306 125052 132192 132408 148959 166736 176544 187578 198612 250104 264816 281367 297918 333472 375156 397224 500208 529632 562734 595836 750312 794448 844101 1000416 1125468 1191672 1500624 1588896 1688202 2250936 2383344 2532303 3001248 3376404 4501872 4766688 5064606 6752808 9003744 10129212 13505616 20258424 27011232 40516848 81033696