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4854930048 = 27394147
BaseRepresentation
bin1001000010110000…
…00101101010000000
3110112100102000000000
410201120011222000
534420330230143
62121430000000
7231211140003
oct44130055200
913470360000
104854930048
112071532891
12b35aa6000
135c4a97997
14340adb53a
151d634cbd3
hex121605a80

4854930048 has 320 divisors, whose sum is σ = 15177697920. Its totient is φ = 1545246720.

The previous prime is 4854930019. The next prime is 4854930077. The reversal of 4854930048 is 8400394584.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4854930019) and next prime (4854930077).

It is a junction number, because it is equal to n+sod(n) for n = 4854929985 and 4854930012.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 103296361 + ... + 103296407.

It is an arithmetic number, because the mean of its divisors is an integer number (47430306).

Almost surely, 24854930048 is an apocalyptic number.

4854930048 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 4854930048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588848960).

4854930048 is an abundant number, since it is smaller than the sum of its proper divisors (10322767872).

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

4854930048 is an frugal number, since it uses more digits than its factorization.

4854930048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4854930048 is about 69677.3280773596. The cubic root of 4854930048 is about 1693.2756337763.

The spelling of 4854930048 in words is "four billion, eight hundred fifty-four million, nine hundred thirty thousand, forty-eight".