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4282096 = 2471317173
BaseRepresentation
bin10000010101011011110000
322001112221011
4100111123300
52044011341
6231440304
751253150
oct20253360
98045834
104282096
112465225
121526094
13b6c0b0
147d6760
15598b81
hex4156f0

4282096 has 80 divisors (see below), whose sum is σ = 10874304. Its totient is φ = 1585152.

The previous prime is 4282093. The next prime is 4282129. The reversal of 4282096 is 6902824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4282093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24666 + ... + 24838.

Almost surely, 24282096 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 4282096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5437152).

4282096 is an abundant number, since it is smaller than the sum of its proper divisors (6592208).

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

4282096 is a wasteful number, since it uses less digits than its factorization.

4282096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 4282096 is about 2069.3225944739. The cubic root of 4282096 is about 162.3873270220.

The spelling of 4282096 in words is "four million, two hundred eighty-two thousand, ninety-six".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 34 52 56 68 91 104 112 119 136 173 182 208 221 238 272 346 364 442 476 692 728 884 952 1211 1384 1456 1547 1768 1904 2249 2422 2768 2941 3094 3536 4498 4844 5882 6188 8996 9688 11764 12376 15743 17992 19376 20587 23528 24752 31486 35984 38233 41174 47056 62972 76466 82348 125944 152932 164696 251888 267631 305864 329392 535262 611728 1070524 2141048 4282096