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286989248 = 2671349277
BaseRepresentation
bin10001000110110…
…001101111000000
3202000000120020102
4101012301233000
51041432123443
644251101532
710053240230
oct2106615700
9660016212
10286989248
11137aa82a7
12801418a8
13475c3a30
142a187cc0
151a2ddcb8
hex111b1bc0

286989248 has 56 divisors (see below), whose sum is σ = 700930272. Its totient is φ = 113531904.

The previous prime is 286989233. The next prime is 286989251. The reversal of 286989248 is 842989682.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 286989193 and 286989202.

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, 18815 + ... + 30462.

It is an arithmetic number, because the mean of its divisors is an integer number (12516612).

Almost surely, 2286989248 is an apocalyptic number.

286989248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

286989248 is an abundant number, since it is smaller than the sum of its proper divisors (413941024).

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

286989248 is a wasteful number, since it uses less digits than its factorization.

286989248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49309 (or 49299 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 56.

The square root of 286989248 is about 16940.7570078790. The cubic root of 286989248 is about 659.6119910986.

The spelling of 286989248 in words is "two hundred eighty-six million, nine hundred eighty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 49277 98554 197108 344939 394216 640601 689878 788432 1281202 1379756 1576864 2562404 2759512 3153728 4484207 5124808 5519024 8968414 10249616 11038048 17936828 20499232 22076096 35873656 40998464 71747312 143494624 286989248