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81352908 = 2232713191307
BaseRepresentation
bin1001101100101…
…01100011001100
312200002011012200
410312111203030
5131311243113
612023401500
72005326330
oct466254314
9180064180
1081352908
1141a1570a
12232b3290
1313b15120
14ab397c0
15721e873
hex4d958cc

81352908 has 144 divisors (see below), whose sum is σ = 266622720. Its totient is φ = 20310912.

The previous prime is 81352907. The next prime is 81352919. The reversal of 81352908 is 80925318.

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

It is not an unprimeable number, because it can be changed into a prime (81352903) 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 47 ways as a sum of consecutive naturals, for example, 61591 + ... + 62897.

Almost surely, 281352908 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 81352908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133311360).

81352908 is an abundant number, since it is smaller than the sum of its proper divisors (185269812).

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

81352908 is a wasteful number, since it uses less digits than its factorization.

81352908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 81352908 is about 9019.5846911041. The cubic root of 81352908 is about 433.3023328250.

The spelling of 81352908 in words is "eighty-one million, three hundred fifty-two thousand, nine hundred eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 19 21 26 28 36 38 39 42 52 57 63 76 78 84 91 114 117 126 133 156 171 182 228 234 247 252 266 273 342 364 399 468 494 532 546 684 741 798 819 988 1092 1197 1307 1482 1596 1638 1729 2223 2394 2614 2964 3276 3458 3921 4446 4788 5187 5228 6916 7842 8892 9149 10374 11763 15561 15684 16991 18298 20748 23526 24833 27447 31122 33982 36596 47052 49666 50973 54894 62244 67964 74499 82341 99332 101946 109788 118937 148998 152919 164682 173831 203892 223497 237874 297996 305838 322829 329364 347662 356811 446994 475748 521493 611676 645658 695324 713622 893988 968487 1042986 1070433 1291316 1427244 1564479 1936974 2085972 2140866 2259803 2905461 3128958 3873948 4281732 4519606 5810922 6257916 6779409 9039212 11621844 13558818 20338227 27117636 40676454 81352908