Search a number
-
+
285983104 = 2711238831
BaseRepresentation
bin10001000010111…
…100000110000000
3201221010110001211
4101002330012000
51041202424404
644213335504
710041546661
oct2102740600
9657113054
10285983104
11137480380
127b937594
1347330a94
1429da5368
151a190b04
hex110bc180

285983104 has 64 divisors (see below), whose sum is σ = 648622080. Its totient is φ = 124326400.

The previous prime is 285983083. The next prime is 285983111. The reversal of 285983104 is 401389582.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27969 + ... + 36799.

It is an arithmetic number, because the mean of its divisors is an integer number (10134720).

Almost surely, 2285983104 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 285983104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324311040).

285983104 is an abundant number, since it is smaller than the sum of its proper divisors (362638976).

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

285983104 is a wasteful number, since it uses less digits than its factorization.

285983104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8879 (or 8867 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 285983104 is about 16911.0349771976. The cubic root of 285983104 is about 658.8402528568.

It can be divided in two parts, 285 and 983104, that added together give a palindrome (983389).

The spelling of 285983104 in words is "two hundred eighty-five million, nine hundred eighty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 352 368 506 704 736 1012 1408 1472 2024 2944 4048 8096 8831 16192 17662 32384 35324 70648 97141 141296 194282 203113 282592 388564 406226 565184 777128 812452 1130368 1554256 1624904 2234243 3108512 3249808 4468486 6217024 6499616 8936972 12434048 12999232 17873944 25998464 35747888 71495776 142991552 285983104