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80561376 = 2532789449
BaseRepresentation
bin1001100110101…
…00010011100000
312121120221102200
410303110103200
5131110431001
611554413200
71665521550
oct463242340
9177527380
1080561376
1141524a55
1222b91200
13138c8a6c
14a9b1160
157115086
hex4cd44e0

80561376 has 144 divisors (see below), whose sum is σ = 265356000. Its totient is φ = 22708224.

The previous prime is 80561339. The next prime is 80561389. The reversal of 80561376 is 67316508.

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 80561376.

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, 179200 + ... + 179648.

It is an arithmetic number, because the mean of its divisors is an integer number (1842750).

Almost surely, 280561376 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 80561376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132678000).

80561376 is an abundant number, since it is smaller than the sum of its proper divisors (184794624).

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

80561376 is a wasteful number, since it uses less digits than its factorization.

80561376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 80561376 is about 8975.5989215205. The cubic root of 80561376 is about 431.8924629451.

The spelling of 80561376 in words is "eighty million, five hundred sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 89 96 112 126 144 168 178 224 252 267 288 336 356 449 504 534 623 672 712 801 898 1008 1068 1246 1347 1424 1602 1796 1869 2016 2136 2492 2694 2848 3143 3204 3592 3738 4041 4272 4984 5388 5607 6286 6408 7184 7476 8082 8544 9429 9968 10776 11214 12572 12816 14368 14952 16164 18858 19936 21552 22428 25144 25632 28287 29904 32328 37716 39961 43104 44856 50288 56574 59808 64656 75432 79922 89712 100576 113148 119883 129312 150864 159844 179424 226296 239766 279727 301728 319688 359649 452592 479532 559454 639376 719298 839181 905184 959064 1118908 1278752 1438596 1678362 1918128 2237816 2517543 2877192 3356724 3836256 4475632 5035086 5754384 6713448 8951264 10070172 11508768 13426896 20140344 26853792 40280688 80561376