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643789104 = 243715112689
BaseRepresentation
bin100110010111110…
…111000100110000
31122212101212121220
4212113313010300
52304302222404
6143514345040
721645055110
oct4627670460
91585355556
10643789104
11300447312
1215b72b180
13a34bacca
1461705040
153b7bc4d9
hex265f7130

643789104 has 80 divisors (see below), whose sum is σ = 1913448960. Its totient is φ = 182707200.

The previous prime is 643789087. The next prime is 643789109. The reversal of 643789104 is 401987346.

643789104 is digitally balanced in base 2, 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 (42).

It is not an unprimeable number, because it can be changed into a prime (643789109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44392 + ... + 57080.

It is an arithmetic number, because the mean of its divisors is an integer number (23918112).

Almost surely, 2643789104 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 643789104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956724480).

643789104 is an abundant number, since it is smaller than the sum of its proper divisors (1269659856).

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

643789104 is a wasteful number, since it uses less digits than its factorization.

643789104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12858 (or 12852 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 643789104 is about 25372.9995073503. Note that the first 3 decimals coincide. The cubic root of 643789104 is about 863.4712342474.

The spelling of 643789104 in words is "six hundred forty-three million, seven hundred eighty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 151 168 302 336 453 604 906 1057 1208 1812 2114 2416 3171 3624 4228 6342 7248 8456 12684 12689 16912 25368 25378 38067 50736 50756 76134 88823 101512 152268 177646 203024 266469 304536 355292 532938 609072 710584 1065876 1421168 1916039 2131752 3832078 4263504 5748117 7664156 11496234 13412273 15328312 22992468 26824546 30656624 40236819 45984936 53649092 80473638 91969872 107298184 160947276 214596368 321894552 643789104