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4605760992 = 2537109227277
BaseRepresentation
bin1000100101000011…
…00101010111100000
3102212222112220022110
410102201211113200
533413033322432
62041005235320
7222064215420
oct42241452740
912788486273
104605760992
111a53917448
12a86562b40
13585286581
1431999a480
151be52edcc
hex1128655e0

4605760992 has 192 divisors, whose sum is σ = 14056035840. Its totient is φ = 1293428736.

The previous prime is 4605760981. The next prime is 4605760997. The reversal of 4605760992 is 2990675064.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4605760997) 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 31 ways as a sum of consecutive naturals, for example, 16627158 + ... + 16627434.

It is an arithmetic number, because the mean of its divisors is an integer number (73208520).

Almost surely, 24605760992 is an apocalyptic number.

4605760992 is a gapful number since it is divisible by the number (42) 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 4605760992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7028017920).

4605760992 is an abundant number, since it is smaller than the sum of its proper divisors (9450274848).

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

4605760992 is a wasteful number, since it uses less digits than its factorization.

4605760992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 4605760992 is about 67865.7571386336. The cubic root of 4605760992 is about 1663.7974936933.

The spelling of 4605760992 in words is "four billion, six hundred five million, seven hundred sixty thousand, nine hundred ninety-two".