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4856417344 = 263122812
BaseRepresentation
bin1001000010111011…
…10000110001000000
3110112110012120012001
410201131300301000
534421220323334
62121521513344
7231226603102
oct44135606100
913473176161
104856417344
112072359259
12b364a2854
135c519893c
14340da7572
151d6543714
hex121770c40

4856417344 has 63 divisors (see below), whose sum is σ = 9993413973. Its totient is φ = 2341516800.

The previous prime is 4856417341. The next prime is 4856417393. The reversal of 4856417344 is 4437146584.

The square root of 4856417344 is 69688.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3281914944 + 1574502400 = 57288^2 + 39680^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4856417294 and 4856417303.

It is not an unprimeable number, because it can be changed into a prime (4856417341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17282484 + ... + 17282764.

Almost surely, 24856417344 is an apocalyptic number.

4856417344 is the 69688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4856417344

4856417344 is an abundant number, since it is smaller than the sum of its proper divisors (5136996629).

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

4856417344 is an frugal number, since it uses more digits than its factorization.

4856417344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 314 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 46.

The cubic root of 4856417344 is about 1693.4485264117.

The spelling of 4856417344 in words is "four billion, eight hundred fifty-six million, four hundred seventeen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 281 496 562 961 992 1124 1922 1984 2248 3844 4496 7688 8711 8992 15376 17422 17984 30752 34844 61504 69688 78961 139376 157922 270041 278752 315844 540082 557504 631688 1080164 1263376 2160328 2447791 2526752 4320656 4895582 5053504 8641312 9791164 17282624 19582328 39164656 75881521 78329312 151763042 156658624 303526084 607052168 1214104336 2428208672 4856417344