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4285620 = 2232529821
BaseRepresentation
bin10000010110010010110100
322001201202200
4100112102310
52044114440
6231504500
751266343
oct20262264
98051680
104285620
112467939
121528130
13b70891
147d7b5a
15599c30
hex4164b4

4285620 has 72 divisors (see below), whose sum is σ = 13464360. Its totient is φ = 1102080.

The previous prime is 4285609. The next prime is 4285627. The reversal of 4285620 is 265824.

4285620 = T167 + T168 + ... + T311.

It can be written as a sum of positive squares in 4 ways, for example, as 197136 + 4088484 = 444^2 + 2022^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4285627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4810 + ... + 5630.

It is an arithmetic number, because the mean of its divisors is an integer number (187005).

Almost surely, 24285620 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 4285620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6732180).

4285620 is an abundant number, since it is smaller than the sum of its proper divisors (9178740).

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

4285620 is a wasteful number, since it uses less digits than its factorization.

4285620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4285620 is about 2070.1739057384. The cubic root of 4285620 is about 162.4318609785.

The spelling of 4285620 in words is "four million, two hundred eighty-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 821 870 1044 1305 1642 1740 2463 2610 3284 4105 4926 5220 7389 8210 9852 12315 14778 16420 23809 24630 29556 36945 47618 49260 71427 73890 95236 119045 142854 147780 214281 238090 285708 357135 428562 476180 714270 857124 1071405 1428540 2142810 4285620