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638794816 = 261137499
BaseRepresentation
bin100110000100110…
…011110001000000
31122112000010202021
4212010303301000
52302012413231
6143215331224
721554444362
oct4604636100
91575003667
10638794816
112a8646000
12159b20b14
13a245c9ca
1460ba4d32
153b132811
hex26133c40

638794816 has 56 divisors (see below), whose sum is σ = 1394460000. Its totient is φ = 290322560.

The previous prime is 638794811. The next prime is 638794837. The reversal of 638794816 is 618497836.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (638794811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81435 + ... + 88933.

Almost surely, 2638794816 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 638794816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697230000).

638794816 is an abundant number, since it is smaller than the sum of its proper divisors (755665184).

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

638794816 is an equidigital number, since it uses as much as digits as its factorization.

638794816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7544 (or 7512 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 52.

The square root of 638794816 is about 25274.3905168849. The cubic root of 638794816 is about 861.2326006499.

The spelling of 638794816 in words is "six hundred thirty-eight million, seven hundred ninety-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1331 1936 2662 3872 5324 7499 7744 10648 14998 21296 29996 42592 59992 82489 85184 119984 164978 239968 329956 479936 659912 907379 1319824 1814758 2639648 3629516 5279296 7259032 9981169 14518064 19962338 29036128 39924676 58072256 79849352 159698704 319397408 638794816