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283960096 = 257341631
BaseRepresentation
bin10000111011001…
…110001100100000
3201210022200000121
4100323032030200
51040143210341
644102130024
710015423000
oct2073161440
9653280017
10283960096
11136319472
127b120914
1346aa3034
14299da000
1519de14d1
hex10ece320

283960096 has 96 divisors (see below), whose sum is σ = 668908800. Its totient is φ = 118540800.

The previous prime is 283960081. The next prime is 283960121. The reversal of 283960096 is 690069382.

It is a super-2 number, since 2×2839600962 = 161266672240658432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449701 + ... + 450331.

It is an arithmetic number, because the mean of its divisors is an integer number (6967800).

Almost surely, 2283960096 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 283960096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334454400).

283960096 is an abundant number, since it is smaller than the sum of its proper divisors (384948704).

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

283960096 is an equidigital number, since it uses as much as digits as its factorization.

283960096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 283960096 is about 16851.1155713798. The cubic root of 283960096 is about 657.2830579609.

The spelling of 283960096 in words is "two hundred eighty-three million, nine hundred sixty thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 49 56 82 98 112 164 196 224 287 328 343 392 574 631 656 686 784 1148 1262 1312 1372 1568 2009 2296 2524 2744 4018 4417 4592 5048 5488 8036 8834 9184 10096 10976 14063 16072 17668 20192 25871 28126 30919 32144 35336 51742 56252 61838 64288 70672 103484 112504 123676 141344 181097 206968 216433 225008 247352 362194 413936 432866 450016 494704 724388 827872 865732 989408 1267679 1448776 1731464 2535358 2897552 3462928 5070716 5795104 6925856 8873753 10141432 17747506 20282864 35495012 40565728 70990024 141980048 283960096