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286496096 = 2523974013
BaseRepresentation
bin10001000100111…
…001010101100000
3201222002111202112
4101010321111200
51041320333341
644232334452
710046114405
oct2104712540
9658074675
10286496096
111377a0837
127bb44428
1347480423
142a09a2ac
151a242aeb
hex11139560

286496096 has 48 divisors (see below), whose sum is σ = 594778464. Its totient is φ = 135573504.

The previous prime is 286496081. The next prime is 286496137. The reversal of 286496096 is 690694682.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 69386 + ... + 73398.

It is an arithmetic number, because the mean of its divisors is an integer number (12391218).

Almost surely, 2286496096 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 286496096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297389232).

286496096 is an abundant number, since it is smaller than the sum of its proper divisors (308282368).

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

286496096 is a wasteful number, since it uses less digits than its factorization.

286496096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4143 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 50.

The square root of 286496096 is about 16926.1955560014. The cubic root of 286496096 is about 659.2339566430.

The spelling of 286496096 in words is "two hundred eighty-six million, four hundred ninety-six thousand, ninety-six".

Divisors: 1 2 4 8 16 23 32 46 92 97 184 194 368 388 736 776 1552 2231 3104 4013 4462 8026 8924 16052 17848 32104 35696 64208 71392 92299 128416 184598 369196 389261 738392 778522 1476784 1557044 2953568 3114088 6228176 8953003 12456352 17906006 35812012 71624024 143248048 286496096