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81354336 = 2537121063
BaseRepresentation
bin1001101100101…
…01111001100000
312200002020011120
410312111321200
5131311314321
612023412240
72005333440
oct466257140
9180066146
1081354336
1141a16798
12232b4080
1313b1597b
14ab3a120
15721eec6
hex4d95e60

81354336 has 48 divisors (see below), whose sum is σ = 244065024. Its totient is φ = 23243904.

The previous prime is 81354331. The next prime is 81354353. The reversal of 81354336 is 63345318.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 81354297 and 81354306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81354331) 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 7 ways as a sum of consecutive naturals, for example, 59860 + ... + 61203.

It is an arithmetic number, because the mean of its divisors is an integer number (5084688).

Almost surely, 281354336 is an apocalyptic number.

It is an amenable number.

81354336 is an abundant number, since it is smaller than the sum of its proper divisors (162710688).

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

81354336 is a wasteful number, since it uses less digits than its factorization.

81354336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121083 (or 121075 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 81354336 is about 9019.6638518295. The cubic root of 81354336 is about 433.3048680842.

The spelling of 81354336 in words is "eighty-one million, three hundred fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 121063 242126 363189 484252 726378 847441 968504 1452756 1694882 1937008 2542323 2905512 3389764 3874016 5084646 5811024 6779528 10169292 11622048 13559056 20338584 27118112 40677168 81354336