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4285000 = 2354857
BaseRepresentation
bin10000010110001001001000
322001200220201
4100112021020
52044110000
6231501544
751264466
oct20261110
98050821
104285000
112467425
1215278b4
13b70505
147d7836
1559996a
hex416248

4285000 has 40 divisors (see below), whose sum is σ = 10051470. Its totient is φ = 1712000.

The previous prime is 4284989. The next prime is 4285009. The reversal of 4285000 is 5824.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 544644 + 3740356 = 738^2 + 1934^2 .

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

It is a super-2 number, since 2×42850002 = 36722450000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4285009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4572 + ... + 5428.

Almost surely, 24285000 is an apocalyptic number.

4285000 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 4285000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5025735).

4285000 is an abundant number, since it is smaller than the sum of its proper divisors (5766470).

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

4285000 is an equidigital number, since it uses as much as digits as its factorization.

4285000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 4285000 is about 2070.0241544484. The cubic root of 4285000 is about 162.4240276031.

The spelling of 4285000 in words is "four million, two hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 857 1000 1250 1714 2500 3428 4285 5000 6856 8570 17140 21425 34280 42850 85700 107125 171400 214250 428500 535625 857000 1071250 2142500 4285000