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282628420 = 225193372207
BaseRepresentation
bin10000110110001…
…001000101000100
3201200211000022021
4100312021011010
51034323102140
644013412524
710001205364
oct2066110504
9650730267
10282628420
11135599a08
127a79a144
1346727b69
14297709a4
1519c2bb4a
hex10d89144

282628420 has 48 divisors (see below), whose sum is σ = 626895360. Its totient is φ = 106735104.

The previous prime is 282628399. The next prime is 282628427. The reversal of 282628420 is 24826282.

It is not an unprimeable number, because it can be changed into a prime (282628427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126957 + ... + 129163.

It is an arithmetic number, because the mean of its divisors is an integer number (13060320).

Almost surely, 2282628420 is an apocalyptic number.

282628420 is a gapful number since it is divisible by the number (20) 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 282628420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313447680).

282628420 is an abundant number, since it is smaller than the sum of its proper divisors (344266940).

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

282628420 is a wasteful number, since it uses less digits than its factorization.

282628420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 282628420 is about 16811.5561445096. The cubic root of 282628420 is about 656.2539698021.

The spelling of 282628420 in words is "two hundred eighty-two million, six hundred twenty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 337 380 674 1348 1685 2207 3370 4414 6403 6740 8828 11035 12806 22070 25612 32015 41933 44140 64030 83866 128060 167732 209665 419330 743759 838660 1487518 2975036 3718795 7437590 14131421 14875180 28262842 56525684 70657105 141314210 282628420