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818255040 = 26354120789
BaseRepresentation
bin110000110001011…
…001010011000000
32010000200122220020
4300301121103000
53133433130130
6213110013440
726164024131
oct6061312300
92100618806
10818255040
1138a97a139
121aa047280
131006a4ca5
147a95bc88
154bc80e10
hex30c594c0

818255040 has 112 divisors (see below), whose sum is σ = 2661452640. Its totient is φ = 212869120.

The previous prime is 818255023. The next prime is 818255047. The reversal of 818255040 is 40552818.

It is a junction number, because it is equal to n+sod(n) for n = 818254992 and 818255010.

It is not an unprimeable number, because it can be changed into a prime (818255047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 28966 + ... + 49754.

It is an arithmetic number, because the mean of its divisors is an integer number (23762970).

Almost surely, 2818255040 is an apocalyptic number.

818255040 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 818255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330726320).

818255040 is an abundant number, since it is smaller than the sum of its proper divisors (1843197600).

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

818255040 is a wasteful number, since it uses less digits than its factorization.

818255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20850 (or 20840 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 818255040 is about 28605.1575769126. The cubic root of 818255040 is about 935.3257617878.

The spelling of 818255040 in words is "eight hundred eighteen million, two hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 160 164 192 205 240 246 320 328 410 480 492 615 656 820 960 984 1230 1312 1640 1968 2460 2624 3280 3936 4920 6560 7872 9840 13120 19680 20789 39360 41578 62367 83156 103945 124734 166312 207890 249468 311835 332624 415780 498936 623670 665248 831560 852349 997872 1247340 1330496 1663120 1704698 1995744 2494680 2557047 3326240 3409396 3991488 4261745 4989360 5114094 6652480 6818792 8523490 9978720 10228188 12785235 13637584 17046980 19957440 20456376 25570470 27275168 34093960 40912752 51140940 54550336 68187920 81825504 102281880 136375840 163651008 204563760 272751680 409127520 818255040