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283982112 = 25343312
BaseRepresentation
bin10000111011010…
…011100100100000
3201210100210020000
4100323103210200
51040144411422
644102420000
710015544121
oct2073234440
9653323200
10283982112
11136333a67
127b131600
1346ab006b
1429a04048
1519de7cac
hex10ed3920

283982112 has 90 divisors (see below), whose sum is σ = 837714339. Its totient is φ = 94374720.

The previous prime is 283982107. The next prime is 283982117. The reversal of 283982112 is 211289382.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (283982107) and next prime (283982117).

It can be written as a sum of positive squares in only one way, i.e., 141991056 + 141991056 = 11916^2 + 11916^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=11916.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (283982117) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 857787 + ... + 858117.

Almost surely, 2283982112 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 283982112

283982112 is an abundant number, since it is smaller than the sum of its proper divisors (553732227).

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

283982112 is an frugal number, since it uses more digits than its factorization.

283982112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 336 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 283982112 is about 16851.7688092378. The cubic root of 283982112 is about 657.3000443497.

The spelling of 283982112 in words is "two hundred eighty-three million, nine hundred eighty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 331 432 648 662 864 993 1296 1324 1986 2592 2648 2979 3972 5296 5958 7944 8937 10592 11916 15888 17874 23832 26811 31776 35748 47664 53622 71496 95328 107244 109561 142992 214488 219122 285984 328683 428976 438244 657366 857952 876488 986049 1314732 1752976 1972098 2629464 2958147 3505952 3944196 5258928 5916294 7888392 8874441 10517856 11832588 15776784 17748882 23665176 31553568 35497764 47330352 70995528 94660704 141991056 283982112