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286542036 = 22341127309
BaseRepresentation
bin10001000101000…
…100100011010100
3201222011211210000
4101011010203110
51041323321121
644233331300
710046365344
oct2105044324
9658154700
10286542036
11137822300
127bb66b30
1347498301
142a0acd24
151a251526
hex111448d4

286542036 has 90 divisors (see below), whose sum is σ = 823478810. Its totient is φ = 86819040.

The previous prime is 286542031. The next prime is 286542079. The reversal of 286542036 is 630245682.

286542036 is a `hidden beast` number, since 2 + 86 + 542 + 0 + 36 = 666.

286542036 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 238517136 + 48024900 = 15444^2 + 6930^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286542031) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 35550 + ... + 42858.

Almost surely, 2286542036 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 286542036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411739405).

286542036 is an abundant number, since it is smaller than the sum of its proper divisors (536936774).

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

286542036 is a wasteful number, since it uses less digits than its factorization.

286542036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7347 (or 7325 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 286542036 is about 16927.5525697013. The cubic root of 286542036 is about 659.2691910840.

The spelling of 286542036 in words is "two hundred eighty-six million, five hundred forty-two thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1452 1782 2178 3267 3564 4356 6534 7309 9801 13068 14618 19602 21927 29236 39204 43854 65781 80399 87708 131562 160798 197343 241197 263124 321596 394686 482394 592029 723591 789372 884389 964788 1184058 1447182 1768778 2170773 2368116 2653167 2894364 3537556 4341546 5306334 6512319 7959501 8683092 10612668 13024638 15919002 23878503 26049276 31838004 47757006 71635509 95514012 143271018 286542036