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4738418048 = 27713232769
BaseRepresentation
bin1000110100110111…
…01000010110000000
3110020020011120120202
410122123220112000
534201013334143
62102104424332
7225264613610
oct43233502600
913206146522
104738418048
112011793681
12b02a780a8
135a68c2580
1432d44ca40
151caed5ab8
hex11a6e8580

4738418048 has 192 divisors, whose sum is σ = 12161133600. Its totient is φ = 1790705664.

The previous prime is 4738418029. The next prime is 4738418171. The reversal of 4738418048 is 8408148374.

It is a super-2 number, since 2×47384180482 = 44905211195224260608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4738417993 and 4738418011.

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 23 ways as a sum of consecutive naturals, for example, 6161408 + ... + 6162176.

Almost surely, 24738418048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4738418048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6080566800).

4738418048 is an abundant number, since it is smaller than the sum of its proper divisors (7422715552).

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

4738418048 is a wasteful number, since it uses less digits than its factorization.

4738418048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 47.

The square root of 4738418048 is about 68836.1681676137. The cubic root of 4738418048 is about 1679.6203374871.

The spelling of 4738418048 in words is "four billion, seven hundred thirty-eight million, four hundred eighteen thousand, forty-eight".