Search a number
-
+
287086716 = 223274724239
BaseRepresentation
bin10001000111001…
…001100001111100
3202000012111221100
4101013021201330
51041443233331
644253133100
710054124340
oct2107114174
9660174840
10287086716
11138064554
128018a190
13476291c7
142a1b1620
151a30cae6
hex111c987c

287086716 has 72 divisors (see below), whose sum is σ = 847042560. Its totient is φ = 80276256.

The previous prime is 287086703. The next prime is 287086739. The reversal of 287086716 is 617680782.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276 + ... + 23963.

It is an arithmetic number, because the mean of its divisors is an integer number (11764480).

Almost surely, 2287086716 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 287086716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423521280).

287086716 is an abundant number, since it is smaller than the sum of its proper divisors (559955844).

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

287086716 is a wasteful number, since it uses less digits than its factorization.

287086716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24303 (or 24298 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 287086716 is about 16943.6334946197. The cubic root of 287086716 is about 659.6866556666.

The spelling of 287086716 in words is "two hundred eighty-seven million, eighty-six thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 658 846 987 1316 1692 1974 2961 3948 5922 11844 24239 48478 72717 96956 145434 169673 218151 290868 339346 436302 509019 678692 872604 1018038 1139233 1527057 2036076 2278466 3054114 3417699 4556932 6108228 6835398 7974631 10253097 13670796 15949262 20506194 23923893 31898524 41012388 47847786 71771679 95695572 143543358 287086716