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4853514240 = 21432529227
BaseRepresentation
bin1001000010100101…
…01100000000000000
3110112020202001212200
410201102230000000
534414444423430
62121335353200
7231163122201
oct44122540000
913466661780
104853514240
1120707560a3
12b35522800
135c46c0423
1434084d5a8
151d616d460
hex1214ac000

4853514240 has 360 divisors, whose sum is σ = 17481849840. Its totient is φ = 1244135424.

The previous prime is 4853514233. The next prime is 4853514251. The reversal of 4853514240 is 424153584.

It is a happy number.

4853514240 is a `hidden beast` number, since 48 + 535 + 1 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4853514195 and 4853514204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21381007 + ... + 21381233.

It is an arithmetic number, because the mean of its divisors is an integer number (48560694).

Almost surely, 24853514240 is an apocalyptic number.

4853514240 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 4853514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8740924920).

4853514240 is an abundant number, since it is smaller than the sum of its proper divisors (12628335600).

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

4853514240 is a wasteful number, since it uses less digits than its factorization.

4853514240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 4853514240 is about 69667.1675899056. The cubic root of 4853514240 is about 1693.1110185472. Note that the first 3 decimals are identical.

The spelling of 4853514240 in words is "four billion, eight hundred fifty-three million, five hundred fourteen thousand, two hundred forty".