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4985820 = 2233571319
BaseRepresentation
bin10011000001001111011100
3100101022021000
4103001033130
52234021240
6254510300
760243630
oct23011734
910338230
104985820
1128a5a14
121805390
1310574b8
1493adc0
15687430
hex4c13dc

4985820 has 96 divisors (see below), whose sum is σ = 17740800. Its totient is φ = 1138752.

The previous prime is 4985819. The next prime is 4985821. The reversal of 4985820 is 285894.

It is an interprime number because it is at equal distance from previous prime (4985819) and next prime (4985821).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4985821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3121 + ... + 4439.

It is an arithmetic number, because the mean of its divisors is an integer number (184800).

Almost surely, 24985820 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 4985820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8870400).

4985820 is an abundant number, since it is smaller than the sum of its proper divisors (12754980).

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

4985820 is a wasteful number, since it uses less digits than its factorization.

4985820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4985820 is about 2232.8949818565. The cubic root of 4985820 is about 170.8357918874.

The spelling of 4985820 in words is "four million, nine hundred eighty-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1319 1890 2638 3780 3957 5276 6595 7914 9233 11871 13190 15828 18466 19785 23742 26380 27699 35613 36932 39570 46165 47484 55398 59355 71226 79140 83097 92330 110796 118710 138495 142452 166194 178065 184660 237420 249291 276990 332388 356130 415485 498582 553980 712260 830970 997164 1246455 1661940 2492910 4985820