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285282816 = 2937132157
BaseRepresentation
bin10001000000010…
…001001000000000
3201212210212110020
4101000101020000
51041013022231
644150333440
710032602220
oct2100211000
9655725406
10285282816
11137042225
127b65a280
1347147100
1429c62080
151a0a3396
hex11011200

285282816 has 240 divisors, whose sum is σ = 946528704. Its totient is φ = 74760192.

The previous prime is 285282799. The next prime is 285282847. The reversal of 285282816 is 618282582.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1817010 + ... + 1817166.

Almost surely, 2285282816 is an apocalyptic number.

285282816 is a gapful number since it is divisible by the number (26) 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 285282816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473264352).

285282816 is an abundant number, since it is smaller than the sum of its proper divisors (661245888).

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

285282816 is a wasteful number, since it uses less digits than its factorization.

285282816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 182 counting only the distinct ones).

The product of its digits is 122880, while the sum is 42.

The square root of 285282816 is about 16890.3172261506. The cubic root of 285282816 is about 658.3020450369.

The spelling of 285282816 in words is "two hundred eighty-five million, two hundred eighty-two thousand, eight hundred sixteen".