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81964896 = 2531365677
BaseRepresentation
bin1001110001010…
…10111101100000
312201020020200220
410320222331200
5131440334041
612044443040
72013455466
oct470527540
9181206626
1081964896
11422a3492
1223549480
1313c9a850
14ac58836
1572e0d66
hex4e2af60

81964896 has 48 divisors (see below), whose sum is σ = 231711984. Its totient is φ = 25219584.

The previous prime is 81964877. The next prime is 81964901. The reversal of 81964896 is 69846918.

It is a happy number.

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

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 7 ways as a sum of consecutive naturals, for example, 31591 + ... + 34086.

It is an arithmetic number, because the mean of its divisors is an integer number (4827333).

Almost surely, 281964896 is an apocalyptic number.

It is an amenable number.

81964896 is an abundant number, since it is smaller than the sum of its proper divisors (149747088).

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

81964896 is a wasteful number, since it uses less digits than its factorization.

81964896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65703 (or 65695 counting only the distinct ones).

The product of its digits is 746496, while the sum is 51.

The square root of 81964896 is about 9053.4466365026. The cubic root of 81964896 is about 434.3861443305.

The spelling of 81964896 in words is "eighty-one million, nine hundred sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 65677 131354 197031 262708 394062 525416 788124 853801 1050832 1576248 1707602 2101664 2561403 3152496 3415204 5122806 6304992 6830408 10245612 13660816 20491224 27321632 40982448 81964896