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285435696 = 243713101647
BaseRepresentation
bin10001000000110…
…110011100110000
3201220002122011110
4101000312130300
51041032420241
644153513320
710034110020
oct2100663460
9656078143
10285435696
11137137077
127b712840
134719b880
1429ca1a80
151a0d3816
hex11036730

285435696 has 160 divisors (see below), whose sum is σ = 917941248. Its totient is φ = 74419200.

The previous prime is 285435679. The next prime is 285435721. The reversal of 285435696 is 696534582.

285435696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440845 + ... + 441491.

Almost surely, 2285435696 is an apocalyptic number.

285435696 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285435696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458970624).

285435696 is an abundant number, since it is smaller than the sum of its proper divisors (632505552).

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

285435696 is a wasteful number, since it uses less digits than its factorization.

285435696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 773 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 48.

The square root of 285435696 is about 16894.8422898824. The cubic root of 285435696 is about 658.4196163718.

The spelling of 285435696 in words is "two hundred eighty-five million, four hundred thirty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 101 104 112 156 168 182 202 208 273 303 312 336 364 404 546 606 624 647 707 728 808 1092 1212 1294 1313 1414 1456 1616 1941 2121 2184 2424 2588 2626 2828 3882 3939 4242 4368 4529 4848 5176 5252 5656 7764 7878 8411 8484 9058 9191 10352 10504 11312 13587 15528 15756 16822 16968 18116 18382 21008 25233 27174 27573 31056 31512 33644 33936 36232 36764 50466 54348 55146 58877 63024 65347 67288 72464 73528 100932 108696 110292 117754 130694 134576 147056 176631 196041 201864 217392 220584 235508 261388 353262 392082 403728 441168 457429 471016 522776 706524 784164 849511 914858 942032 1045552 1372287 1413048 1568328 1699022 1829716 2548533 2744574 2826096 3136656 3398044 3659432 5097066 5489148 5946577 6796088 7318864 10194132 10978296 11893154 13592176 17839731 20388264 21956592 23786308 35679462 40776528 47572616 71358924 95145232 142717848 285435696