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4973540256 = 253217269237
BaseRepresentation
bin1001010000111001…
…00011001110100000
3110211121121000121200
410220130203032200
540141211242011
62141304121200
7234151252236
oct45034431640
913747530550
104973540256
112122485453
12b69766200
13613526139
14352774956
151e197b856
hex1287233a0

4973540256 has 36 divisors (see below), whose sum is σ = 14143505922. Its totient is φ = 1657846656.

The previous prime is 4973540251. The next prime is 4973540269. The reversal of 4973540256 is 6520453794.

4973540256 is a `hidden beast` number, since 49 + 7 + 354 + 0 + 256 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3904250256 + 1069290000 = 62484^2 + 32700^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×49735402562 = 49472205356105091072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4973540251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8634331 + ... + 8634906.

Almost surely, 24973540256 is an apocalyptic number.

It is an amenable number.

4973540256 is an abundant number, since it is smaller than the sum of its proper divisors (9169965666).

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

4973540256 is a wasteful number, since it uses less digits than its factorization.

4973540256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17269253 (or 17269242 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 4973540256 is about 70523.3312883049. The cubic root of 4973540256 is about 1706.9542417695.

The spelling of 4973540256 in words is "four billion, nine hundred seventy-three million, five hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 17269237 34538474 51807711 69076948 103615422 138153896 155423133 207230844 276307792 310846266 414461688 552615584 621692532 828923376 1243385064 1657846752 2486770128 4973540256