Search a number
-
+
4490550064 = 2471121371359
BaseRepresentation
bin1000010111010100…
…00101101100110000
3102120221202120122001
410023222011230300
533144040100224
62021332023344
7216165021460
oct41352055460
912527676561
104490550064
1119a4886800
12a53a61b54
13567448420
14308569ba0
151b4373544
hex10ba85b30

4490550064 has 240 divisors, whose sum is σ = 11969233920. Its totient is φ = 1587801600.

The previous prime is 4490550049. The next prime is 4490550109. The reversal of 4490550064 is 4600550944.

It is a super-3 number, since 3×44905500643 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12508317 + ... + 12508675.

It is an arithmetic number, because the mean of its divisors is an integer number (49871808).

Almost surely, 24490550064 is an apocalyptic number.

4490550064 is a gapful number since it is divisible by the number (44) 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 4490550064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984616960).

4490550064 is an abundant number, since it is smaller than the sum of its proper divisors (7478683856).

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

4490550064 is a wasteful number, since it uses less digits than its factorization.

4490550064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 4490550064 is about 67011.5666433788. The cubic root of 4490550064 is about 1649.8071478307.

The spelling of 4490550064 in words is "four billion, four hundred ninety million, five hundred fifty thousand, sixty-four".