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282445056 = 283453257
BaseRepresentation
bin10000110101011…
…100010100000000
3201200110200210000
4100311130110000
51034301220211
644005440000
76666512655
oct2065342400
9650420700
10282445056
11135484173
127a710000
134669256a
1429723c2c
1519be2656
hex10d5c500

282445056 has 180 divisors, whose sum is σ = 861429492. Its totient is φ = 92012544.

The previous prime is 282445049. The next prime is 282445069. The reversal of 282445056 is 650544282.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 250905600 + 31539456 = 15840^2 + 5616^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 282445056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1098880 + ... + 1099136.

Almost surely, 2282445056 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 282445056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430714746).

282445056 is an abundant number, since it is smaller than the sum of its proper divisors (578984436).

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

282445056 is an equidigital number, since it uses as much as digits as its factorization.

282445056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 282445056 is about 16806.1017490672. The cubic root of 282445056 is about 656.1120173573.

The spelling of 282445056 in words is "two hundred eighty-two million, four hundred forty-five thousand, fifty-six".