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83285010 = 2345229449
BaseRepresentation
bin1001111011011…
…01010000010010
312210201022120000
410331231100102
5132310110020
612133030430
72030624304
oct475552022
9183638500
1083285010
1143015296
1223a85416
1314340693
14b0bd974
1574a2090
hex4f6d412

83285010 has 80 divisors (see below), whose sum is σ = 225423000. Its totient is φ = 22063104.

The previous prime is 83284997. The next prime is 83285029. The reversal of 83285010 is 1058238.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 81486729 + 1798281 = 9027^2 + 1341^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 185266 + ... + 185714.

Almost surely, 283285010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83285010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112711500).

83285010 is an abundant number, since it is smaller than the sum of its proper divisors (142137990).

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

83285010 is a wasteful number, since it uses less digits than its factorization.

83285010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 83285010 is about 9126.0621299660. The cubic root of 83285010 is about 436.7057874034.

The spelling of 83285010 in words is "eighty-three million, two hundred eighty-five thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 229 270 405 449 458 687 810 898 1145 1347 1374 2061 2245 2290 2694 3435 4041 4122 4490 6183 6735 6870 8082 10305 12123 12366 13470 18549 20205 20610 24246 30915 36369 37098 40410 60615 61830 72738 92745 102821 121230 181845 185490 205642 308463 363690 514105 616926 925389 1028210 1542315 1850778 2776167 3084630 4626945 5552334 8328501 9253890 13880835 16657002 27761670 41642505 83285010