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81229536 = 25321747353
BaseRepresentation
bin1001101011101…
…11011011100000
312122211212222100
410311313123200
5131243321121
612021010400
72004303543
oct465673340
9178755870
1081229536
1141940a53
1223253a00
1313aa0c1b
14ab0685a
1571e8026
hex4d776e0

81229536 has 144 divisors (see below), whose sum is σ = 250496064. Its totient is φ = 24870912.

The previous prime is 81229531. The next prime is 81229571. The reversal of 81229536 is 63592218.

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 self number, because there is not a number n which added to its sum of digits gives 81229536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81229531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229936 + ... + 230288.

It is an arithmetic number, because the mean of its divisors is an integer number (1739556).

Almost surely, 281229536 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 81229536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125248032).

81229536 is an abundant number, since it is smaller than the sum of its proper divisors (169266528).

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

81229536 is a wasteful number, since it uses less digits than its factorization.

81229536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 422 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 81229536 is about 9012.7429786941. The cubic root of 81229536 is about 433.0831871207.

The spelling of 81229536 in words is "eighty-one million, two hundred twenty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 47 48 51 68 72 94 96 102 136 141 144 153 188 204 272 282 288 306 353 376 408 423 544 564 612 706 752 799 816 846 1059 1128 1224 1412 1504 1598 1632 1692 2118 2256 2397 2448 2824 3177 3196 3384 4236 4512 4794 4896 5648 6001 6354 6392 6768 7191 8472 9588 11296 12002 12708 12784 13536 14382 16591 16944 18003 19176 24004 25416 25568 28764 33182 33888 36006 38352 48008 49773 50832 54009 57528 66364 72012 76704 96016 99546 101664 108018 115056 132728 144024 149319 192032 199092 216036 230112 265456 282047 288048 298638 398184 432072 530912 564094 576096 597276 796368 846141 864144 1128188 1194552 1592736 1692282 1728288 2256376 2389104 2538423 3384564 4512752 4778208 5076846 6769128 9025504 10153692 13538256 20307384 27076512 40614768 81229536