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282426368 = 210731241
BaseRepresentation
bin10000110101010…
…111110000000000
3201200102202010212
4100311113300000
51034300120433
644005213252
76666404330
oct2065276000
9650382125
10282426368
11135471124
127a701228
1346686bc3
142971b0c0
1519bdbd48
hex10d57c00

282426368 has 132 divisors (see below), whose sum is σ = 682977456. Its totient is φ = 114278400.

The previous prime is 282426349. The next prime is 282426383. The reversal of 282426368 is 863624282.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6888428 + ... + 6888468.

Almost surely, 2282426368 is an apocalyptic number.

282426368 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 282426368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341488728).

282426368 is an abundant number, since it is smaller than the sum of its proper divisors (400551088).

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

282426368 is an equidigital number, since it uses as much as digits as its factorization.

282426368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 81 counting only the distinct ones).

The product of its digits is 221184, while the sum is 41.

The square root of 282426368 is about 16805.5457513286. The cubic root of 282426368 is about 656.0975464698.

It can be divided in two parts, 2824 and 26368, that added together give a palindrome (29192).

The spelling of 282426368 in words is "two hundred eighty-two million, four hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 41 56 62 64 82 112 124 128 164 217 224 248 256 287 328 434 448 496 512 574 656 868 896 961 992 1024 1148 1271 1312 1736 1792 1922 1984 2296 2542 2624 3472 3584 3844 3968 4592 5084 5248 6727 6944 7168 7688 7936 8897 9184 10168 10496 13454 13888 15376 15872 17794 18368 20336 20992 26908 27776 30752 31744 35588 36736 39401 40672 41984 53816 55552 61504 71176 73472 78802 81344 107632 111104 123008 142352 146944 157604 162688 215264 222208 246016 275807 284704 293888 315208 325376 430528 492032 551614 569408 630416 650752 861056 984064 1103228 1138816 1260832 1301504 1722112 2206456 2277632 2521664 3444224 4412912 4555264 5043328 6888448 8825824 9110528 10086656 17651648 20173312 35303296 40346624 70606592 141213184 282426368