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643797820 = 225171939811
BaseRepresentation
bin100110010111111…
…001001100111100
31122212102022120201
4212113321030330
52304303012240
6143514453244
721645122401
oct4627711474
91585368521
10643797820
11300452916
1215b734224
13a34c1c73
14617082a8
153b7bed9a
hex265f933c

643797820 has 48 divisors (see below), whose sum is σ = 1439067168. Its totient is φ = 241090560.

The previous prime is 643797799. The next prime is 643797839. The reversal of 643797820 is 28797346.

It is a congruent number.

It is an unprimeable number.

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, 60715 + ... + 70525.

It is an arithmetic number, because the mean of its divisors is an integer number (29980566).

Almost surely, 2643797820 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 643797820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719533584).

643797820 is an abundant number, since it is smaller than the sum of its proper divisors (795269348).

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

643797820 is a wasteful number, since it uses less digits than its factorization.

643797820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10030 (or 10028 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The square root of 643797820 is about 25373.1712641522. The cubic root of 643797820 is about 863.4751309589.

The spelling of 643797820 in words is "six hundred forty-three million, seven hundred ninety-seven thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 193 340 386 772 965 1930 3281 3860 6562 9811 13124 16405 19622 32810 39244 49055 65620 98110 166787 196220 333574 667148 833935 1667870 1893523 3335740 3787046 7574092 9467615 18935230 32189891 37870460 64379782 128759564 160949455 321898910 643797820