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4286000 = 24532143
BaseRepresentation
bin10000010110011000110000
322001202021202
4100112120300
52044123000
6231510332
751300425
oct20263060
98052252
104286000
112468154
1215283a8
13b70ac4
147d7d4c
15599dd5
hex416630

4286000 has 40 divisors (see below), whose sum is σ = 10368384. Its totient is φ = 1713600.

The previous prime is 4285993. The next prime is 4286011. The reversal of 4286000 is 6824.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 929 + ... + 3071.

Almost surely, 24286000 is an apocalyptic number.

4286000 is a gapful number since it is divisible by the number (40) 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 4286000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184192).

4286000 is an abundant number, since it is smaller than the sum of its proper divisors (6082384).

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

4286000 is a wasteful number, since it uses less digits than its factorization.

4286000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4286000 is about 2070.2656834329. The cubic root of 4286000 is about 162.4366617061.

The spelling of 4286000 in words is "four million, two hundred eighty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2143 4286 8572 10715 17144 21430 34288 42860 53575 85720 107150 171440 214300 267875 428600 535750 857200 1071500 2143000 4286000