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4994569440 = 253257641773
BaseRepresentation
bin1001010011011001…
…10001010011100000
3110220002011102020100
410221230301103200
540212102210230
62143334542400
7234525065640
oct45154612340
913802142210
104994569440
112133338a43
12b74807a00
136179a9b43
1435548a520
151e3732660
hex129b314e0

4994569440 has 288 divisors, whose sum is σ = 19534447296. Its totient is φ = 1138360320.

The previous prime is 4994569423. The next prime is 4994569477. The reversal of 4994569440 is 449654994.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6460894 + ... + 6461666.

It is an arithmetic number, because the mean of its divisors is an integer number (67827942).

Almost surely, 24994569440 is an apocalyptic number.

4994569440 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 4994569440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9767223648).

4994569440 is an abundant number, since it is smaller than the sum of its proper divisors (14539877856).

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

4994569440 is a wasteful number, since it uses less digits than its factorization.

4994569440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 4994569440 is about 70672.2678283356. The cubic root of 4994569440 is about 1709.3566472813.

The spelling of 4994569440 in words is "four billion, nine hundred ninety-four million, five hundred sixty-nine thousand, four hundred forty".