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81265338 = 232711173449
BaseRepresentation
bin1001101100000…
…00001010111010
312122220201002100
410312000022322
5131300442323
612021444230
72004513120
oct466001272
9178821070
1081265338
1141965940
1223270676
1313ab42cb
14ab15910
157203943
hex4d802ba

81265338 has 96 divisors (see below), whose sum is σ = 232502400. Its totient is φ = 19860480.

The previous prime is 81265333. The next prime is 81265351. The reversal of 81265338 is 83356218.

It is not an unprimeable number, because it can be changed into a prime (81265333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21838 + ... + 25286.

It is an arithmetic number, because the mean of its divisors is an integer number (2421900).

Almost surely, 281265338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81265338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116251200).

81265338 is an abundant number, since it is smaller than the sum of its proper divisors (151237062).

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

81265338 is a wasteful number, since it uses less digits than its factorization.

81265338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492 (or 3489 counting only the distinct ones).

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

The square root of 81265338 is about 9014.7289476722. The cubic root of 81265338 is about 433.1468050590.

The spelling of 81265338 in words is "eighty-one million, two hundred sixty-five thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 33 34 42 51 63 66 77 99 102 119 126 153 154 187 198 231 238 306 357 374 462 561 693 714 1071 1122 1309 1386 1683 2142 2618 3366 3449 3927 6898 7854 10347 11781 20694 23562 24143 31041 37939 48286 58633 62082 72429 75878 113817 117266 144858 175899 217287 227634 265573 341451 351798 410431 434574 527697 531146 644963 682902 796719 820862 1055394 1231293 1289926 1593438 1934889 2390157 2462586 3693879 3869778 4514741 4780314 5804667 7387758 9029482 11609334 13544223 27088446 40632669 81265338