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80259696 = 243211232203
BaseRepresentation
bin1001100100010…
…10101001110000
312121000121121100
410302022221300
5131021302241
611544124400
71663124166
oct462125160
9177017540
1080259696
1141339330
1222a66700
131382165a
14a933236
1570a59b6
hex4c8aa70

80259696 has 120 divisors (see below), whose sum is σ = 255805056. Its totient is φ = 23253120.

The previous prime is 80259679. The next prime is 80259701. The reversal of 80259696 is 69695208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35331 + ... + 37533.

Almost surely, 280259696 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 80259696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127902528).

80259696 is an abundant number, since it is smaller than the sum of its proper divisors (175545360).

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

80259696 is a wasteful number, since it uses less digits than its factorization.

80259696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 80259696 is about 8958.7775951856. Note that the first 3 decimals coincide. The cubic root of 80259696 is about 431.3526827951.

The spelling of 80259696 in words is "eighty million, two hundred fifty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 33 36 44 46 48 66 69 72 88 92 99 132 138 144 176 184 198 207 253 264 276 368 396 414 506 528 552 759 792 828 1012 1104 1518 1584 1656 2024 2203 2277 3036 3312 4048 4406 4554 6072 6609 8812 9108 12144 13218 17624 18216 19827 24233 26436 35248 36432 39654 48466 50669 52872 72699 79308 96932 101338 105744 145398 152007 158616 193864 202676 218097 290796 304014 317232 387728 405352 436194 456021 557359 581592 608028 810704 872388 912042 1114718 1163184 1216056 1672077 1744776 1824084 2229436 2432112 3344154 3489552 3648168 4458872 5016231 6688308 7296336 8917744 10032462 13376616 20064924 26753232 40129848 80259696