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850054920 = 2335111349537
BaseRepresentation
bin110010101010101…
…100111100001000
32012020112021010120
4302222230330020
53220103224140
6220203343240
730031230141
oct6252547410
92166467116
10850054920
113a6919930
121b8821b20
1310715a2a0
1480c78ac8
154e9631d0
hex32aacf08

850054920 has 128 divisors (see below), whose sum is σ = 2996058240. Its totient is φ = 190218240.

The previous prime is 850054901. The next prime is 850054951. The reversal of 850054920 is 29450058.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7609 + ... + 41928.

It is an arithmetic number, because the mean of its divisors is an integer number (23406705).

Almost surely, 2850054920 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 850054920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498029120).

850054920 is an abundant number, since it is smaller than the sum of its proper divisors (2146003320).

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

850054920 is a wasteful number, since it uses less digits than its factorization.

850054920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49575 (or 49571 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 850054920 is about 29155.7013292426. The cubic root of 850054920 is about 947.2886383040.

The spelling of 850054920 in words is "eight hundred fifty million, fifty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 715 780 858 1144 1320 1430 1560 1716 2145 2860 3432 4290 5720 8580 17160 49537 99074 148611 198148 247685 297222 396296 495370 544907 594444 643981 743055 990740 1089814 1188888 1287962 1486110 1634721 1931943 1981480 2179628 2575924 2724535 2972220 3219905 3269442 3863886 4359256 5151848 5449070 5944440 6439810 6538884 7083791 7727772 8173605 9659715 10898140 12879620 13077768 14167582 15455544 16347210 19319430 21251373 21796280 25759240 28335164 32694420 35418955 38638860 42502746 56670328 65388840 70837910 77277720 85005492 106256865 141675820 170010984 212513730 283351640 425027460 850054920