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4248059904 = 214351197
BaseRepresentation
bin1111110100110100…
…0100000000000000
3101222001110210200000
43331031010000000
532200000404104
61541310400000
7210161625204
oct37515040000
911861423600
104248059904
11188aa12310
129a6800000
1352913501a
142c4286b04
1519ce24639
hexfd344000

4248059904 has 360 divisors, whose sum is σ = 14026373088. Its totient is φ = 1274019840.

The previous prime is 4248059887. The next prime is 4248059917. The reversal of 4248059904 is 4099508424.

It is a self number, because there is not a number n which added to its sum of digits gives 4248059904.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 43794384 + ... + 43794480.

Almost surely, 24248059904 is an apocalyptic number.

4248059904 is a gapful number since it is divisible by the number (44) 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 4248059904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7013186544).

4248059904 is an abundant number, since it is smaller than the sum of its proper divisors (9778313184).

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

4248059904 is an frugal number, since it uses more digits than its factorization.

4248059904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4248059904 is about 65177.1424964304. The cubic root of 4248059904 is about 1619.5593863440.

The spelling of 4248059904 in words is "four billion, two hundred forty-eight million, fifty-nine thousand, nine hundred four".