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4882200 = 2335279103
BaseRepresentation
bin10010100111111100011000
3100012001010020
4102213330120
52222212300
6252350440
756332551
oct22477430
910161106
104882200
112835084
121775420
13101c29b
14911328
156668a0
hex4a7f18

4882200 has 96 divisors (see below), whose sum is σ = 15475200. Its totient is φ = 1272960.

The previous prime is 4882153. The next prime is 4882211. The reversal of 4882200 is 22884.

4882200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47349 + ... + 47451.

It is an arithmetic number, because the mean of its divisors is an integer number (161200).

Almost surely, 24882200 is an apocalyptic number.

4882200 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 4882200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7737600).

4882200 is an abundant number, since it is smaller than the sum of its proper divisors (10593000).

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

4882200 is a wasteful number, since it uses less digits than its factorization.

4882200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 4882200 is about 2209.5700939323. The cubic root of 4882200 is about 169.6440070625.

The spelling of 4882200 in words is "four million, eight hundred eighty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 79 100 103 120 150 158 200 206 237 300 309 316 395 412 474 515 600 618 632 790 824 948 1030 1185 1236 1545 1580 1896 1975 2060 2370 2472 2575 3090 3160 3950 4120 4740 5150 5925 6180 7725 7900 8137 9480 10300 11850 12360 15450 15800 16274 20600 23700 24411 30900 32548 40685 47400 48822 61800 65096 81370 97644 122055 162740 195288 203425 244110 325480 406850 488220 610275 813700 976440 1220550 1627400 2441100 4882200