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80379936 = 25327133067
BaseRepresentation
bin1001100101010…
…00000000100000
312121020201112200
410302220000200
5131034124221
611550453200
71664134560
oct462500040
9177221480
1080379936
11414106aa
1222b04200
13138642c0
14a964da0
1570cb426
hex4ca8020

80379936 has 144 divisors (see below), whose sum is σ = 281421504. Its totient is φ = 21192192.

The previous prime is 80379913. The next prime is 80379977. The reversal of 80379936 is 63997308.

It is a happy number.

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

It is a super-2 number, since 2×803799362 = 12921868222728192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 80379891 and 80379900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24675 + ... + 27741.

It is an arithmetic number, because the mean of its divisors is an integer number (1954316).

Almost surely, 280379936 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 80379936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140710752).

80379936 is an abundant number, since it is smaller than the sum of its proper divisors (201041568).

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

80379936 is a wasteful number, since it uses less digits than its factorization.

80379936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103 (or 3092 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 80379936 is about 8965.4858206346. The cubic root of 80379936 is about 431.5679837494.

The spelling of 80379936 in words is "eighty million, three hundred seventy-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3067 3276 3744 4368 6134 6552 8736 9201 12268 13104 18402 21469 24536 26208 27603 36804 39871 42938 49072 55206 64407 73608 79742 85876 98144 110412 119613 128814 147216 159484 171752 193221 220824 239226 257628 279097 294432 318968 343504 358839 386442 441648 478452 515256 558194 637936 687008 717678 772884 837291 883296 956904 1030512 1116388 1275872 1435356 1545768 1674582 1913808 2061024 2232776 2511873 2870712 3091536 3349164 3827616 4465552 5023746 5741424 6183072 6698328 8931104 10047492 11482848 13396656 20094984 26793312 40189968 80379936