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80437056 = 263797617
BaseRepresentation
bin1001100101101…
…01111101000000
312121100121220020
410302311331000
5131042441211
611552013440
71664463240
oct462657500
9177317806
1080437056
114144a607
1222b31280
13138842bb
14a97bb20
1570dd306
hex4cb5f40

80437056 has 112 divisors (see below), whose sum is σ = 246132096. Its totient is φ = 22708224.

The previous prime is 80437037. The next prime is 80437057. The reversal of 80437056 is 65073408.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80437057) 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, 130060 + ... + 130676.

It is an arithmetic number, because the mean of its divisors is an integer number (2197608).

Almost surely, 280437056 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 80437056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123066048).

80437056 is an abundant number, since it is smaller than the sum of its proper divisors (165695040).

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

80437056 is a wasteful number, since it uses less digits than its factorization.

80437056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 80437056 is about 8968.6708045284. The cubic root of 80437056 is about 431.6701872242.

The spelling of 80437056 in words is "eighty million, four hundred thirty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 97 112 168 192 194 224 291 336 388 448 582 617 672 679 776 1164 1234 1344 1358 1552 1851 2037 2328 2468 2716 3104 3702 4074 4319 4656 4936 5432 6208 7404 8148 8638 9312 9872 10864 12957 14808 16296 17276 18624 19744 21728 25914 29616 32592 34552 39488 43456 51828 59232 59849 65184 69104 103656 118464 119698 130368 138208 179547 207312 239396 276416 359094 414624 418943 478792 718188 829248 837886 957584 1256829 1436376 1675772 1915168 2513658 2872752 3351544 3830336 5027316 5745504 6703088 10054632 11491008 13406176 20109264 26812352 40218528 80437056