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80859744 = 25327192111
BaseRepresentation
bin1001101000111…
…01001001100000
312122011002201100
410310131021200
5131200002434
612005034400
72001203460
oct464351140
9178132640
1080859744
1141709139
12230b5a00
13139a1804
14aa4bba0
157173699
hex4d1d260

80859744 has 144 divisors (see below), whose sum is σ = 276756480. Its totient is φ = 21876480.

The previous prime is 80859707. The next prime is 80859761. The reversal of 80859744 is 44795808.

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

It is a self number, because there is not a number n which added to its sum of digits gives 80859744.

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, 37249 + ... + 39359.

It is an arithmetic number, because the mean of its divisors is an integer number (1921920).

Almost surely, 280859744 is an apocalyptic number.

80859744 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80859744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138378240).

80859744 is an abundant number, since it is smaller than the sum of its proper divisors (195896736).

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

80859744 is a wasteful number, since it uses less digits than its factorization.

80859744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 80859744 is about 8992.2046240063. The cubic root of 80859744 is about 432.4249932853.

The spelling of 80859744 in words is "eighty million, eight hundred fifty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2111 2128 2394 2736 3192 4222 4256 4788 5472 6333 6384 8444 9576 12666 12768 14777 16888 18999 19152 25332 29554 33776 37998 38304 40109 44331 50664 59108 67552 75996 80218 88662 101328 118216 120327 132993 151992 160436 177324 202656 236432 240654 265986 280763 303984 320872 354648 360981 472864 481308 531972 561526 607968 641744 709296 721962 842289 962616 1063944 1123052 1283488 1418592 1443924 1684578 1925232 2127888 2246104 2526867 2887848 3369156 3850464 4255776 4492208 5053734 5775696 6738312 8984416 10107468 11551392 13476624 20214936 26953248 40429872 80859744