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286530048 = 29357247
BaseRepresentation
bin10001000101000…
…001101000000000
3201222011020100000
4101011001220000
51041322430143
644233200000
710046315400
oct2105015000
9658136300
10286530048
111378142a2
127bb60000
1347492a0c
142a0a8800
151a24cbd3
hex11141a00

286530048 has 360 divisors, whose sum is σ = 1018809792. Its totient is φ = 80123904.

The previous prime is 286530043. The next prime is 286530061. The reversal of 286530048 is 840035682.

286530048 is a `hidden beast` number, since 2 + 86 + 530 + 0 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 286529994 and 286530021.

It is not an unprimeable number, because it can be changed into a prime (286530043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6096361 + ... + 6096407.

Almost surely, 2286530048 is an apocalyptic number.

286530048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286530048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509404896).

286530048 is an abundant number, since it is smaller than the sum of its proper divisors (732279744).

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

286530048 is an frugal number, since it uses more digits than its factorization.

286530048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 286530048 is about 16927.1984687366. The cubic root of 286530048 is about 659.2599970528.

The spelling of 286530048 in words is "two hundred eighty-six million, five hundred thirty thousand, forty-eight".