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850852640 = 25511271619
BaseRepresentation
bin110010101101101…
…111101100100000
32012022000210101202
4302231233230200
53220304241030
6220232420332
730041061641
oct6255575440
92168023352
10850852640
113a7314200
121b8b476a8
13107379401
14810056c8
154ea6e745
hex32b6fb20

850852640 has 144 divisors (see below), whose sum is σ = 2244231360. Its totient is φ = 304550400.

The previous prime is 850852637. The next prime is 850852643. The reversal of 850852640 is 46258058.

It is an interprime number because it is at equal distance from previous prime (850852637) and next prime (850852643).

It is a junction number, because it is equal to n+sod(n) for n = 850852594 and 850852603.

It is not an unprimeable number, because it can be changed into a prime (850852643) 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, 1374251 + ... + 1374869.

It is an arithmetic number, because the mean of its divisors is an integer number (15584940).

Almost surely, 2850852640 is an apocalyptic number.

850852640 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 850852640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122115680).

850852640 is an abundant number, since it is smaller than the sum of its proper divisors (1393378720).

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

850852640 is a wasteful number, since it uses less digits than its factorization.

850852640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The square root of 850852640 is about 29169.3784644102. The cubic root of 850852640 is about 947.5848681183.

The spelling of 850852640 in words is "eight hundred fifty million, eight hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 71 80 88 110 121 142 160 176 220 242 284 352 355 440 484 568 605 619 710 781 880 968 1136 1210 1238 1420 1562 1760 1936 2272 2420 2476 2840 3095 3124 3872 3905 4840 4952 5680 6190 6248 6809 7810 8591 9680 9904 11360 12380 12496 13618 15620 17182 19360 19808 24760 24992 27236 31240 34045 34364 42955 43949 49520 54472 62480 68090 68728 74899 85910 87898 99040 108944 124960 136180 137456 149798 171820 175796 217888 219745 272360 274912 299596 343640 351592 374495 439490 483439 544720 599192 687280 703184 748990 878980 966878 1089440 1198384 1374560 1406368 1497980 1757960 1933756 2396768 2417195 2995960 3515920 3867512 4834390 5317829 5991920 7031840 7735024 9668780 10635658 11983840 15470048 19337560 21271316 26589145 38675120 42542632 53178290 77350240 85085264 106356580 170170528 212713160 425426320 850852640