Search a number
-
+
285196788 = 223429127239
BaseRepresentation
bin10000111111111…
…100000111110100
3201212122111110000
4100333330013310
51041002244123
644144431300
710032063342
oct2077740764
9655574400
10285196788
11136a93628
127b618530
1347116bc6
1429c3c992
151a087b43
hex10ffc1f4

285196788 has 120 divisors (see below), whose sum is σ = 780595200. Its totient is φ = 90683712.

The previous prime is 285196771. The next prime is 285196843. The reversal of 285196788 is 887691582.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1193173 + ... + 1193411.

It is an arithmetic number, because the mean of its divisors is an integer number (6504960).

Almost surely, 2285196788 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 285196788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390297600).

285196788 is an abundant number, since it is smaller than the sum of its proper divisors (495398412).

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

285196788 is a wasteful number, since it uses less digits than its factorization.

285196788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 400 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The square root of 285196788 is about 16887.7703679319. The cubic root of 285196788 is about 658.2358673135.

The spelling of 285196788 in words is "two hundred eighty-five million, one hundred ninety-six thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 127 162 174 239 254 261 324 348 381 478 508 522 717 762 783 956 1044 1143 1434 1524 1566 2151 2286 2349 2868 3132 3429 3683 4302 4572 4698 6453 6858 6931 7366 8604 9396 10287 11049 12906 13716 13862 14732 19359 20574 20793 22098 25812 27724 30353 33147 38718 41148 41586 44196 60706 62379 66294 77436 83172 91059 99441 121412 124758 132588 182118 187137 198882 249516 273177 298323 364236 374274 397764 546354 561411 596646 748548 819531 880237 1092708 1122822 1193292 1639062 1760474 2245644 2458593 2640711 3278124 3520948 4917186 5281422 7922133 9834372 10562844 15844266 23766399 31688532 47532798 71299197 95065596 142598394 285196788