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80816256 = 273231273
BaseRepresentation
bin1001101000100…
…10100010000000
312122001220001200
410310102202000
5131142110011
612004101200
72000632623
oct464224200
9178056050
1080816256
11416894a4
1223094800
1313987a91
14aa39dba
157165856
hex4d12880

80816256 has 144 divisors (see below), whose sum is σ = 243592830. Its totient is φ = 25712640.

The previous prime is 80816233. The next prime is 80816269. The reversal of 80816256 is 65261808.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 66977856 + 13838400 = 8184^2 + 3720^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 80816256.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1107036 + ... + 1107108.

Almost surely, 280816256 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 80816256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121796415).

80816256 is an abundant number, since it is smaller than the sum of its proper divisors (162776574).

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

80816256 is a wasteful number, since it uses less digits than its factorization.

80816256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 80816256 is about 8989.7862043544. The cubic root of 80816256 is about 432.3474570913.

The spelling of 80816256 in words is "eighty million, eight hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 73 93 96 124 128 144 146 186 192 219 248 279 288 292 372 384 438 496 558 576 584 657 744 876 961 992 1116 1152 1168 1314 1488 1752 1922 1984 2232 2263 2336 2628 2883 2976 3504 3844 3968 4464 4526 4672 5256 5766 5952 6789 7008 7688 8649 8928 9052 9344 10512 11532 11904 13578 14016 15376 17298 17856 18104 20367 21024 23064 27156 28032 30752 34596 35712 36208 40734 42048 46128 54312 61504 69192 70153 72416 81468 84096 92256 108624 123008 138384 140306 144832 162936 184512 210459 217248 276768 280612 289664 325872 369024 420918 434496 553536 561224 631377 651744 841836 868992 1107072 1122448 1262754 1303488 1683672 2244896 2525508 2606976 3367344 4489792 5051016 6734688 8979584 10102032 13469376 20204064 26938752 40408128 80816256