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4427008320 = 263573179269
BaseRepresentation
bin1000001111101111…
…01100100101000000
3102102112012022202010
410013313230211000
533031303231240
62011142052520
7214463643540
oct40767544500
912375168663
104427008320
111971a26969
12a3671a140
1355722b367
142ddd49320
151ad9c1280
hex107dec940

4427008320 has 448 divisors, whose sum is σ = 16854220800. Its totient is φ = 963256320.

The previous prime is 4427008309. The next prime is 4427008357. The reversal of 4427008320 is 238007244.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16457146 + ... + 16457414.

Almost surely, 24427008320 is an apocalyptic number.

4427008320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4427008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8427110400).

4427008320 is an abundant number, since it is smaller than the sum of its proper divisors (12427212480).

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

4427008320 is a wasteful number, since it uses less digits than its factorization.

4427008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 4427008320 is about 66535.7672233514. The cubic root of 4427008320 is about 1641.9885060589.

The spelling of 4427008320 in words is "four billion, four hundred twenty-seven million, eight thousand, three hundred twenty".