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81202608 = 24331711057
BaseRepresentation
bin1001101011100…
…00110110110000
312122210112001000
410311300312300
5131241440413
612020242000
72004132204
oct465606660
9178715030
1081202608
11419227a3
1223240300
1313a918a6
14aadab04
1571e0073
hex4d70db0

81202608 has 80 divisors (see below), whose sum is σ = 246814560. Its totient is φ = 25473024.

The previous prime is 81202607. The next prime is 81202613. The reversal of 81202608 is 80620218.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (81202601) 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 15 ways as a sum of consecutive naturals, for example, 1816 + ... + 12872.

It is an arithmetic number, because the mean of its divisors is an integer number (3085182).

Almost surely, 281202608 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 81202608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123407280).

81202608 is an abundant number, since it is smaller than the sum of its proper divisors (165611952).

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

81202608 is a wasteful number, since it uses less digits than its factorization.

81202608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11091 (or 11079 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 81202608 is about 9011.2489700374. The cubic root of 81202608 is about 433.0353254128.

It can be divided in two parts, 81202 and 608, that added together give a triangular number (81810 = T404).

The spelling of 81202608 in words is "eighty-one million, two hundred two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 11057 22114 33171 44228 66342 88456 99513 132684 176912 187969 199026 265368 298539 375938 398052 530736 563907 597078 751876 796104 1127814 1194156 1503752 1592208 1691721 2255628 2388312 3007504 3383442 4511256 4776624 5075163 6766884 9022512 10150326 13533768 20300652 27067536 40601304 81202608