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81704800 = 2552414753
BaseRepresentation
bin1001101111010…
…11011101100000
312200202000220201
410313223131200
5131404023200
612035114544
72011323262
oct467533540
9180660821
1081704800
1142136031
1223442a54
1313c09348
14abcbb32
15728dc6a
hex4deb760

81704800 has 144 divisors (see below), whose sum is σ = 212611392. Its totient is φ = 30617600.

The previous prime is 81704789. The next prime is 81704801. The reversal of 81704800 is 840718.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81704801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1541574 + ... + 1541626.

It is an arithmetic number, because the mean of its divisors is an integer number (1476468).

Almost surely, 281704800 is an apocalyptic number.

81704800 is a gapful number since it is divisible by the number (80) 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 81704800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106305696).

81704800 is an abundant number, since it is smaller than the sum of its proper divisors (130906592).

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

81704800 is a wasteful number, since it uses less digits than its factorization.

81704800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 81704800 is about 9039.0707486998. The cubic root of 81704800 is about 433.9261839390.

The spelling of 81704800 in words is "eighty-one million, seven hundred four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 47 50 53 80 82 94 100 106 160 164 188 200 205 212 235 265 328 376 400 410 424 470 530 656 752 800 820 848 940 1025 1060 1175 1312 1325 1504 1640 1696 1880 1927 2050 2120 2173 2350 2491 2650 3280 3760 3854 4100 4240 4346 4700 4982 5300 6560 7520 7708 8200 8480 8692 9400 9635 9964 10600 10865 12455 15416 16400 17384 18800 19270 19928 21200 21730 24910 30832 32800 34768 37600 38540 39856 42400 43460 48175 49820 54325 61664 62275 69536 77080 79712 86920 96350 99640 102131 108650 124550 154160 173840 192700 199280 204262 217300 249100 308320 347680 385400 398560 408524 434600 498200 510655 770800 817048 869200 996400 1021310 1541600 1634096 1738400 1992800 2042620 2553275 3268192 4085240 5106550 8170480 10213100 16340960 20426200 40852400 81704800