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850228512 = 25376911831
BaseRepresentation
bin110010101011010…
…111010100100000
32012020212002020220
4302223113110200
53220124303022
6220211203040
730032552220
oct6253272440
92166762226
10850228512
113a6a282a1
121b88a6480
131071bb2c3
1480cc2080
154e99985c
hex32ad7520

850228512 has 96 divisors (see below), whose sum is σ = 2555771904. Its totient is φ = 242438400.

The previous prime is 850228507. The next prime is 850228517. The reversal of 850228512 is 215822058.

It is an interprime number because it is at equal distance from previous prime (850228507) and next prime (850228517).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×8502285123 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (850228517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463437 + ... + 465267.

It is an arithmetic number, because the mean of its divisors is an integer number (26622624).

Almost surely, 2850228512 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 850228512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277885952).

850228512 is an abundant number, since it is smaller than the sum of its proper divisors (1705543392).

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

850228512 is a wasteful number, since it uses less digits than its factorization.

850228512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 2534 counting only the distinct ones).

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

The square root of 850228512 is about 29158.6781593405. The cubic root of 850228512 is about 947.3531167014.

The spelling of 850228512 in words is "eight hundred fifty million, two hundred twenty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 691 1382 1831 2073 2764 3662 4146 4837 5493 5528 7324 8292 9674 10986 11056 12817 14511 14648 16584 19348 21972 22112 25634 29022 29296 33168 38451 38696 43944 51268 58044 58592 66336 76902 77392 87888 102536 116088 153804 154784 175776 205072 232176 307608 410144 464352 615216 1230432 1265221 2530442 3795663 5060884 7591326 8856547 10121768 15182652 17713094 20243536 26569641 30365304 35426188 40487072 53139282 60730608 70852376 106278564 121461216 141704752 212557128 283409504 425114256 850228512