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81636672 = 2631332707
BaseRepresentation
bin1001101110110…
…10110101000000
312200121120110110
410313122311000
5131344333142
612033431320
72010620535
oct467326500
9180546413
1081636672
1142099927
122340b540
1313bb4330
14abb0d8c
15727899c
hex4ddad40

81636672 has 56 divisors (see below), whose sum is σ = 232619296. Its totient is φ = 25118208.

The previous prime is 81636649. The next prime is 81636679. The reversal of 81636672 is 27663618.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 81636672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81636679) 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, 13858 + ... + 18849.

It is an arithmetic number, because the mean of its divisors is an integer number (4153916).

Almost surely, 281636672 is an apocalyptic number.

It is an amenable number.

81636672 is an abundant number, since it is smaller than the sum of its proper divisors (150982624).

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

81636672 is a wasteful number, since it uses less digits than its factorization.

81636672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32735 (or 32725 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 81636672 is about 9035.3014338206. The cubic root of 81636672 is about 433.8055433582.

The spelling of 81636672 in words is "eighty-one million, six hundred thirty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 32707 65414 98121 130828 196242 261656 392484 425191 523312 784968 850382 1046624 1275573 1569936 1700764 2093248 2551146 3139872 3401528 5102292 6279744 6803056 10204584 13606112 20409168 27212224 40818336 81636672