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4930546720 = 2551121771211
BaseRepresentation
bin1001001011110001…
…00010110000100000
3110201121200201120111
410211320202300200
540044204443340
62133130421104
7233116645531
oct44570426040
913647621514
104930546720
11210018a800
12b57291794
13607651b88
1434ab82688
151dccd7aea
hex125e22c20

4930546720 has 288 divisors, whose sum is σ = 13812882048. Its totient is φ = 1655808000.

The previous prime is 4930546697. The next prime is 4930546723. The reversal of 4930546720 is 276450394.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4930546723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23367415 + ... + 23367625.

It is an arithmetic number, because the mean of its divisors is an integer number (47961396).

Almost surely, 24930546720 is an apocalyptic number.

4930546720 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 4930546720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6906441024).

4930546720 is an abundant number, since it is smaller than the sum of its proper divisors (8882335328).

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

4930546720 is a wasteful number, since it uses less digits than its factorization.

4930546720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 4930546720 is about 70217.8518611898. The cubic root of 4930546720 is about 1702.0214385294.

The spelling of 4930546720 in words is "four billion, nine hundred thirty million, five hundred forty-six thousand, seven hundred twenty".