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4289134080 = 29357117253
BaseRepresentation
bin1111111110100110…
…1111111000000000
3102001220202120211210
43333221233320000
532241004242310
61545335010120
7211201016040
oct37751577000
912056676753
104289134080
111901116a10
129b8509940
135347b677a
142c98d9720
151a1839820
hexffa6fe00

4289134080 has 320 divisors, whose sum is σ = 17097619968. Its totient is φ = 891125760.

The previous prime is 4289134061. The next prime is 4289134141. The reversal of 4289134080 is 804319824.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587734 + ... + 594986.

Almost surely, 24289134080 is an apocalyptic number.

4289134080 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 4289134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8548809984).

4289134080 is an abundant number, since it is smaller than the sum of its proper divisors (12808485888).

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

4289134080 is a wasteful number, since it uses less digits than its factorization.

4289134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7297 (or 7281 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 4289134080 is about 65491.4809727189. The cubic root of 4289134080 is about 1624.7624526925.

The spelling of 4289134080 in words is "four billion, two hundred eighty-nine million, one hundred thirty-four thousand, eighty".