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81675216 = 243573001
BaseRepresentation
bin1001101111001…
…00001111010000
312200200112100000
410313210033100
5131402101331
612034330000
72011141110
oct467441720
9180615300
1081675216
1142115887
1223429900
1313bc8a3c
14abc1040
1572850e6
hex4de43d0

81675216 has 120 divisors (see below), whose sum is σ = 270996544. Its totient is φ = 23328000.

The previous prime is 81675199. The next prime is 81675221. The reversal of 81675216 is 61257618.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25716 + ... + 28716.

Almost surely, 281675216 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 81675216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135498272).

81675216 is an abundant number, since it is smaller than the sum of its proper divisors (189321328).

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

81675216 is a wasteful number, since it uses less digits than its factorization.

81675216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031 (or 3013 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 81675216 is about 9037.4341491377. The cubic root of 81675216 is about 433.8738050419.

The spelling of 81675216 in words is "eighty-one million, six hundred seventy-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1134 1296 1512 1701 1944 2268 3001 3024 3402 3888 4536 6002 6804 9003 9072 12004 13608 18006 21007 24008 27009 27216 36012 42014 48016 54018 63021 72024 81027 84028 108036 126042 144048 162054 168056 189063 216072 243081 252084 324108 336112 378126 432144 486162 504168 567189 648216 729243 756252 972324 1008336 1134378 1296432 1458486 1512504 1701567 1944648 2268756 2916972 3025008 3403134 3889296 4537512 5104701 5833944 6806268 9075024 10209402 11667888 13612536 20418804 27225072 40837608 81675216