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285866490 = 23573132137
BaseRepresentation
bin10001000010011…
…111100111111010
3201220220112002210
4101002133213322
51041140211430
644211035550
710040553000
oct2102374772
9656815083
10285866490
111374007a8
127b89bbb6
13472bc990
1429d74a70
151a16b2b0
hex1109f9fa

285866490 has 128 divisors (see below), whose sum is σ = 862041600. Its totient is φ = 60286464.

The previous prime is 285866489. The next prime is 285866527. The reversal of 285866490 is 94668582.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132702 + ... + 134838.

It is an arithmetic number, because the mean of its divisors is an integer number (6734700).

Almost surely, 2285866490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285866490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431020800).

285866490 is an abundant number, since it is smaller than the sum of its proper divisors (576175110).

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

285866490 is a wasteful number, since it uses less digits than its factorization.

285866490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 285866490 is about 16907.5867586122. The cubic root of 285866490 is about 658.7506899404.

The spelling of 285866490 in words is "two hundred eighty-five million, eight hundred sixty-six thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 147 182 195 210 245 273 294 343 390 455 490 546 637 686 735 910 1029 1274 1365 1470 1715 1911 2058 2137 2730 3185 3430 3822 4274 4459 5145 6370 6411 8918 9555 10290 10685 12822 13377 14959 19110 21370 22295 26754 27781 29918 32055 44590 44877 55562 64110 66885 74795 83343 89754 104713 133770 138905 149590 166686 194467 209426 224385 277810 314139 388934 416715 448770 523565 583401 628278 732991 833430 972335 1047130 1166802 1361269 1465982 1570695 1944670 2198973 2722538 2917005 3141390 3664955 4083807 4397946 5834010 6806345 7329910 8167614 9528883 10994865 13612690 19057766 20419035 21989730 28586649 40838070 47644415 57173298 95288830 142933245 285866490