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4285700 = 2252172521
BaseRepresentation
bin10000010110010100000100
322001201212122
4100112110010
52044120300
6231505112
751266516
oct20262404
98051778
104285700
112467a01
121528198
13b70923
147d7bb6
15599c85
hex416504

4285700 has 36 divisors (see below), whose sum is σ = 9850932. Its totient is φ = 1612800.

The previous prime is 4285693. The next prime is 4285753. The reversal of 4285700 is 75824.

4285700 = T485 + T486 + ... + T518.

It can be written as a sum of positive squares in 6 ways, for example, as 568516 + 3717184 = 754^2 + 1928^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4285700.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 440 + ... + 2960.

It is an arithmetic number, because the mean of its divisors is an integer number (273637).

Almost surely, 24285700 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 4285700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4925466).

4285700 is an abundant number, since it is smaller than the sum of its proper divisors (5565232).

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

4285700 is a wasteful number, since it uses less digits than its factorization.

4285700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 4285700 is about 2070.1932276964. The cubic root of 4285700 is about 162.4328716816.

The spelling of 4285700 in words is "four million, two hundred eighty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 2521 5042 10084 12605 25210 42857 50420 63025 85714 126050 171428 214285 252100 428570 857140 1071425 2142850 4285700