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4426880640 = 273571321949
BaseRepresentation
bin1000001111101110…
…01101011010000000
3102102111221211121020
410013313031122000
533031240140030
62011135225440
7214462602360
oct40767153200
912374854536
104426880640
111971949a46
12a36678280
135571b5200
142ddd149a0
151ad998510
hex107dcd680

4426880640 has 384 divisors, whose sum is σ = 17471376000. Its totient is φ = 933543936.

The previous prime is 4426880639. The next prime is 4426880641. The reversal of 4426880640 is 460886244.

It is an interprime number because it is at equal distance from previous prime (4426880639) and next prime (4426880641).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4426880592 and 4426880601.

It is not an unprimeable number, because it can be changed into a prime (4426880641) 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, 2270386 + ... + 2272334.

It is an arithmetic number, because the mean of its divisors is an integer number (45498375).

Almost surely, 24426880640 is an apocalyptic number.

4426880640 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 4426880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8735688000).

4426880640 is an abundant number, since it is smaller than the sum of its proper divisors (13044495360).

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

4426880640 is a wasteful number, since it uses less digits than its factorization.

4426880640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 4426880640 is about 66534.8077324944. The cubic root of 4426880640 is about 1641.9727202962.

The spelling of 4426880640 in words is "four billion, four hundred twenty-six million, eight hundred eighty thousand, six hundred forty".