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850315440 = 243513272537
BaseRepresentation
bin110010101011101…
…100100010110000
32012021000111111110
4302223230202300
53220140043230
6220213113320
730033363522
oct6253544260
92167014443
10850315440
113a6a87637
121b8928840
1310721ba40
1480d05a12
154e9b54b0
hex32aec8b0

850315440 has 80 divisors (see below), whose sum is σ = 2838755808. Its totient is φ = 209307648.

The previous prime is 850315423. The next prime is 850315471. The reversal of 850315440 is 44513058.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 850315398 and 850315407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133149 + ... + 139388.

Almost surely, 2850315440 is an apocalyptic number.

850315440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

850315440 is an abundant number, since it is smaller than the sum of its proper divisors (1988440368).

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

850315440 is a wasteful number, since it uses less digits than its factorization.

850315440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272566 (or 272560 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 850315440 is about 29160.1687237917. The cubic root of 850315440 is about 947.3854016320.

Adding to 850315440 its reverse (44513058), we get a palindrome (894828498).

The spelling of 850315440 in words is "eight hundred fifty million, three hundred fifteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 272537 545074 817611 1090148 1362685 1635222 2180296 2725370 3270444 3542981 4088055 4360592 5450740 6540888 7085962 8176110 10628943 10901480 13081776 14171924 16352220 17714905 21257886 21802960 28343848 32704440 35429810 42515772 53144715 56687696 65408880 70859620 85031544 106289430 141719240 170063088 212578860 283438480 425157720 850315440