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81053568 = 273347499
BaseRepresentation
bin1001101010011…
…00011110000000
312122111221121000
410311030132000
5131222203233
612013132000
72002641531
oct465143600
9178457530
1081053568
1141830822
122318a000
1313a3babb
14aa9c688
1571b0d13
hex4d4c780

81053568 has 128 divisors (see below), whose sum is σ = 244800000. Its totient is φ = 26390016.

The previous prime is 81053549. The next prime is 81053573. The reversal of 81053568 is 86535018.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 162183 + ... + 162681.

It is an arithmetic number, because the mean of its divisors is an integer number (1912500).

Almost surely, 281053568 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 81053568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122400000).

81053568 is an abundant number, since it is smaller than the sum of its proper divisors (163746432).

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

81053568 is a wasteful number, since it uses less digits than its factorization.

81053568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 81053568 is about 9002.9755081306. The cubic root of 81053568 is about 432.7702308454.

The spelling of 81053568 in words is "eighty-one million, fifty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 128 141 144 188 192 216 282 288 376 384 423 432 499 564 576 752 846 864 998 1128 1152 1269 1497 1504 1692 1728 1996 2256 2538 2994 3008 3384 3456 3992 4491 4512 5076 5988 6016 6768 7984 8982 9024 10152 11976 13473 13536 15968 17964 18048 20304 23453 23952 26946 27072 31936 35928 40608 46906 47904 53892 54144 63872 70359 71856 81216 93812 95808 107784 140718 143712 162432 187624 191616 211077 215568 281436 287424 375248 422154 431136 562872 574848 633231 750496 844308 862272 1125744 1266462 1500992 1688616 1724544 2251488 2532924 3001984 3377232 4502976 5065848 6754464 9005952 10131696 13508928 20263392 27017856 40526784 81053568