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283248056 = 2371321732
BaseRepresentation
bin10000111000100…
…000010110111000
3201201222111021202
4100320200112320
51040002414211
644034553332
710006366040
oct2070402670
9651874252
10283248056
11135982503
127aa38848
13468b3c00
1429892720
1519d0053b
hex10e205b8

283248056 has 72 divisors (see below), whose sum is σ = 661061880. Its totient is φ = 111406464.

The previous prime is 283248047. The next prime is 283248079. The reversal of 283248056 is 650842382.

It is a super-2 number, since 2×2832480562 = 160458922455558272, which contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 1637186 + ... + 1637358.

It is an arithmetic number, because the mean of its divisors is an integer number (9181415).

Almost surely, 2283248056 is an apocalyptic number.

283248056 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 283248056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330530940).

283248056 is an abundant number, since it is smaller than the sum of its proper divisors (377813824).

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

283248056 is a wasteful number, since it uses less digits than its factorization.

283248056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 283248056 is about 16829.9749257092. The cubic root of 283248056 is about 656.7332112671.

The spelling of 283248056 in words is "two hundred eighty-three million, two hundred forty-eight thousand, fifty-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 173 182 338 346 364 676 692 728 1183 1211 1352 1384 2249 2366 2422 4498 4732 4844 8996 9464 9688 15743 17992 29237 29929 31486 58474 59858 62972 116948 119716 125944 204659 209503 233896 239432 389077 409318 419006 778154 818636 838012 1556308 1637272 1676024 2723539 3112616 5058001 5447078 10116002 10894156 20232004 21788312 35406007 40464008 70812014 141624028 283248056