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285403104 = 25327197451
BaseRepresentation
bin10001000000101…
…110011111100000
3201220000222110100
4101000232133200
51041030344404
644153102400
710033613010
oct2100563740
9656028410
10285403104
11137114638
127b6b7a00
1347189a9c
1429c93c40
151a0c8d39
hex1102e7e0

285403104 has 144 divisors (see below), whose sum is σ = 976510080. Its totient is φ = 77241600.

The previous prime is 285403099. The next prime is 285403109. The reversal of 285403104 is 401304582.

It is an interprime number because it is at equal distance from previous prime (285403099) and next prime (285403109).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285403109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34579 + ... + 42029.

It is an arithmetic number, because the mean of its divisors is an integer number (6781320).

Almost surely, 2285403104 is an apocalyptic number.

285403104 is a gapful number since it is divisible by the number (24) 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 285403104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488255040).

285403104 is an abundant number, since it is smaller than the sum of its proper divisors (691106976).

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

285403104 is a wasteful number, since it uses less digits than its factorization.

285403104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7493 (or 7482 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 285403104 is about 16893.8777076194. The cubic root of 285403104 is about 658.3945552351.

Adding to 285403104 its reverse (401304582), we get a palindrome (686707686).

The spelling of 285403104 in words is "two hundred eighty-five million, four hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3192 4256 4788 5472 6384 7451 9576 12768 14902 19152 22353 29804 38304 44706 52157 59608 67059 89412 104314 119216 134118 141569 156471 178824 208628 238432 268236 283138 312942 357648 417256 424707 469413 536472 566276 625884 715296 834512 849414 938826 990983 1072944 1132552 1251768 1274121 1669024 1698828 1877652 1981966 2145888 2265104 2503536 2548242 2972949 3397656 3755304 3963932 4530208 5007072 5096484 5945898 6795312 7510608 7927864 8918847 10192968 11891796 13590624 15021216 15855728 17837694 20385936 23783592 31711456 35675388 40771872 47567184 71350776 95134368 142701552 285403104