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4798630368 = 253273311567
BaseRepresentation
bin1000111100000010…
…10100100111100000
3110101102110200100200
410132001110213200
534311422132433
62112055145200
7226625454000
oct43601244740
913342420320
104798630368
11204277a024
12b1b075200
135b621506c
14337444000
151d142b613
hex11e0549e0

4798630368 has 288 divisors, whose sum is σ = 16437657600. Its totient is φ = 1325963520.

The previous prime is 4798630339. The next prime is 4798630373. The reversal of 4798630368 is 8630368974.

4798630368 is a `hidden beast` number, since 479 + 86 + 30 + 3 + 68 = 666.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3061521 + ... + 3063087.

It is an arithmetic number, because the mean of its divisors is an integer number (57075200).

Almost surely, 24798630368 is an apocalyptic number.

4798630368 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 4798630368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8218828800).

4798630368 is an abundant number, since it is smaller than the sum of its proper divisors (11639027232).

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

4798630368 is a wasteful number, since it uses less digits than its factorization.

4798630368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 4798630368 is about 69272.1471299973. The cubic root of 4798630368 is about 1686.7048719563.

The spelling of 4798630368 in words is "four billion, seven hundred ninety-eight million, six hundred thirty thousand, three hundred sixty-eight".