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283093728 = 25319714969
BaseRepresentation
bin10000110111111…
…010101011100000
3201201200122120220
4100313322223200
51034432444403
644031403040
710005154101
oct2067725340
9651618526
10283093728
11135887565
127a983480
134685b8a8
14298523a8
1519cbe953
hex10dfaae0

283093728 has 48 divisors (see below), whose sum is σ = 746943120. Its totient is φ = 93879296.

The previous prime is 283093721. The next prime is 283093739. The reversal of 283093728 is 827390382.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 283093728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283093721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11428 + ... + 26396.

It is an arithmetic number, because the mean of its divisors is an integer number (15561315).

Almost surely, 2283093728 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 283093728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373471560).

283093728 is an abundant number, since it is smaller than the sum of its proper divisors (463849392).

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

283093728 is a wasteful number, since it uses less digits than its factorization.

283093728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15179 (or 15171 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 283093728 is about 16825.3893862817. The cubic root of 283093728 is about 656.6139156723.

The spelling of 283093728 in words is "two hundred eighty-three million, ninety-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 197 394 591 788 1182 1576 2364 3152 4728 6304 9456 14969 18912 29938 44907 59876 89814 119752 179628 239504 359256 479008 718512 1437024 2948893 5897786 8846679 11795572 17693358 23591144 35386716 47182288 70773432 94364576 141546864 283093728