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5828220 = 2233543251
BaseRepresentation
bin10110001110111001111100
3101222002211000
4112032321330
52443000340
6324530300
7100352616
oct26167174
911862730
105828220
113320912
121b50990
131290a68
14ab9db6
157a1d30
hex58ee7c

5828220 has 96 divisors (see below), whose sum is σ = 18627840. Its totient is φ = 1512000.

The previous prime is 5828219. The next prime is 5828227. The reversal of 5828220 is 228285.

5828220 is a `hidden beast` number, since 582 + 82 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5828227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23095 + ... + 23345.

It is an arithmetic number, because the mean of its divisors is an integer number (194040).

Almost surely, 25828220 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 5828220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9313920).

5828220 is an abundant number, since it is smaller than the sum of its proper divisors (12799620).

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

5828220 is a wasteful number, since it uses less digits than its factorization.

5828220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 5828220 is about 2414.1706650525. The cubic root of 5828220 is about 179.9611027062.

The spelling of 5828220 in words is "five million, eight hundred twenty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 86 90 108 129 135 172 180 215 251 258 270 387 430 502 516 540 645 753 774 860 1004 1161 1255 1290 1506 1548 1935 2259 2322 2510 2580 3012 3765 3870 4518 4644 5020 5805 6777 7530 7740 9036 10793 11295 11610 13554 15060 21586 22590 23220 27108 32379 33885 43172 45180 53965 64758 67770 97137 107930 129516 135540 161895 194274 215860 291411 323790 388548 485685 582822 647580 971370 1165644 1457055 1942740 2914110 5828220