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628022840 = 235172931847
BaseRepresentation
bin100101011011101…
…101111000111000
31121202201212101012
4211123231320320
52241233212330
6142152413052
721364051244
oct4533557070
91552655335
10628022840
112a2558945
121563a7188
13a015a963
145d59d424
153a205c95
hex256ede38

628022840 has 64 divisors (see below), whose sum is σ = 1547812800. Its totient is φ = 228272128.

The previous prime is 628022821. The next prime is 628022849. The reversal of 628022840 is 48220826.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 628022797 and 628022806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628022849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3797 + ... + 35643.

It is an arithmetic number, because the mean of its divisors is an integer number (24184575).

Almost surely, 2628022840 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 628022840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773906400).

628022840 is an abundant number, since it is smaller than the sum of its proper divisors (919789960).

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

628022840 is a wasteful number, since it uses less digits than its factorization.

628022840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31904 (or 31900 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 628022840 is about 25060.3838757510. The cubic root of 628022840 is about 856.3641527173.

The spelling of 628022840 in words is "six hundred twenty-eight million, twenty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 170 232 290 340 493 580 680 986 1160 1972 2465 3944 4930 9860 19720 31847 63694 127388 159235 254776 318470 541399 636940 923563 1082798 1273880 1847126 2165596 2706995 3694252 4331192 4617815 5413990 7388504 9235630 10827980 15700571 18471260 21655960 31401142 36942520 62802284 78502855 125604568 157005710 314011420 628022840