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286423128 = 2335251587
BaseRepresentation
bin10001000100100…
…111100001011000
3201221221210200000
4101010213201120
51041311020003
644231013000
710045361565
oct2104474130
9657853600
10286423128
11137750a32
127bb0a160
1347456154
142a07b86c
151a22b1a3
hex11127858

286423128 has 96 divisors (see below), whose sum is σ = 809040960. Its totient is φ = 94932000.

The previous prime is 286423127. The next prime is 286423133. The reversal of 286423128 is 821324682.

286423128 is a `hidden beast` number, since 2 + 8 + 642 + 3 + 1 + 2 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 286423092 and 286423101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286423127) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 487651 + ... + 488237.

It is an arithmetic number, because the mean of its divisors is an integer number (8427510).

Almost surely, 2286423128 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 286423128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404520480).

286423128 is an abundant number, since it is smaller than the sum of its proper divisors (522617832).

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

286423128 is a wasteful number, since it uses less digits than its factorization.

286423128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 843 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 286423128 is about 16924.0399432287. The cubic root of 286423128 is about 659.1779848882.

The spelling of 286423128 in words is "two hundred eighty-six million, four hundred twenty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 251 324 486 502 587 648 753 972 1004 1174 1506 1761 1944 2008 2259 2348 3012 3522 4518 4696 5283 6024 6777 7044 9036 10566 13554 14088 15849 18072 20331 21132 27108 31698 40662 42264 47547 54216 60993 63396 81324 95094 121986 126792 142641 147337 162648 190188 243972 285282 294674 380376 442011 487944 570564 589348 884022 1141128 1178696 1326033 1768044 2652066 3536088 3978099 5304132 7956198 10608264 11934297 15912396 23868594 31824792 35802891 47737188 71605782 95474376 143211564 286423128