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4761203328 = 27347172227
BaseRepresentation
bin1000110111100101…
…00011001010000000
3110021211001012010000
410123302203022000
534222332001303
62104241040000
7225662363160
oct43362431200
913254035100
104761203328
112023636592
12b0a626000
135ab53c69b
143324a05a0
151cced6da3
hex11bca3280

4761203328 has 480 divisors, whose sum is σ = 17277812640. Its totient is φ = 1274683392.

The previous prime is 4761203281. The next prime is 4761203329. The reversal of 4761203328 is 8233021674.

It is a happy number.

4761203328 is a `hidden beast` number, since 4 + 7 + 612 + 0 + 3 + 32 + 8 = 666.

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 = 4761203292 and 4761203301.

It is not an unprimeable number, because it can be changed into a prime (4761203329) 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 59 ways as a sum of consecutive naturals, for example, 20974351 + ... + 20974577.

It is an arithmetic number, because the mean of its divisors is an integer number (35995443).

Almost surely, 24761203328 is an apocalyptic number.

4761203328 is a gapful number since it is divisible by the number (48) 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 4761203328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8638906320).

4761203328 is an abundant number, since it is smaller than the sum of its proper divisors (12516609312).

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

4761203328 is a wasteful number, since it uses less digits than its factorization.

4761203328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4761203328 is about 69001.4733755737. The cubic root of 4761203328 is about 1682.3082556641.

The spelling of 4761203328 in words is "four billion, seven hundred sixty-one million, two hundred three thousand, three hundred twenty-eight".