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643894848 = 26325918947
BaseRepresentation
bin100110011000010…
…000111001000000
31122212121020200100
4212120100321000
52304314113343
6143520522400
721646005312
oct4630207100
91585536610
10643894848
11300509803
1215b780400
13a352718c
14617317b2
153b7dd9d3
hex26610e40

643894848 has 84 divisors (see below), whose sum is σ = 1876988880. Its totient is φ = 210982656.

The previous prime is 643894829. The next prime is 643894871. The reversal of 643894848 is 848498346.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 643894794 and 643894803.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24511 + ... + 43457.

Almost surely, 2643894848 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 643894848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938494440).

643894848 is an abundant number, since it is smaller than the sum of its proper divisors (1233094032).

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

643894848 is a wasteful number, since it uses less digits than its factorization.

643894848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19024 (or 19011 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 643894848 is about 25375.0832116862. The cubic root of 643894848 is about 863.5185074424.

The spelling of 643894848 in words is "six hundred forty-three million, eight hundred ninety-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 144 177 192 236 288 354 472 531 576 708 944 1062 1416 1888 2124 2832 3776 4248 5664 8496 11328 16992 18947 33984 37894 56841 75788 113682 151576 170523 227364 303152 341046 454728 606304 682092 909456 1117873 1212608 1364184 1818912 2235746 2728368 3353619 3637824 4471492 5456736 6707238 8942984 10060857 10913472 13414476 17885968 20121714 26828952 35771936 40243428 53657904 71543872 80486856 107315808 160973712 214631616 321947424 643894848