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3086379648 = 2732111714327
BaseRepresentation
bin1011011111110110…
…0110101010000000
321222002120022221100
42313331212222000
522310103122043
61230131454400
7136324536252
oct26775465200
97862508840
103086379648
1113441a9790
12721757400
133a2569661
14213c8dcd2
15130e57cd3
hexb7f66a80

3086379648 has 192 divisors, whose sum is σ = 10259421120. Its totient is φ = 880189440.

The previous prime is 3086379643. The next prime is 3086379661. The reversal of 3086379648 is 8469736803.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 3086379594 and 3086379603.

It is not an unprimeable number, because it can be changed into a prime (3086379641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208261 + ... + 222587.

It is an arithmetic number, because the mean of its divisors is an integer number (53434485).

Almost surely, 23086379648 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 3086379648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5129710560).

3086379648 is an abundant number, since it is smaller than the sum of its proper divisors (7173041472).

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

3086379648 is a wasteful number, since it uses less digits than its factorization.

3086379648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14375 (or 14360 counting only the distinct ones).

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

The square root of 3086379648 is about 55555.1946086052. The cubic root of 3086379648 is about 1455.9611348962.

The spelling of 3086379648 in words is "three billion, eighty-six million, three hundred seventy-nine thousand, six hundred forty-eight".