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490836672 = 263537853
BaseRepresentation
bin11101010000011…
…001001011000000
31021012121002100000
4131100121023000
52001123233142
6120412200000
715110020464
oct3520311300
91235532300
10490836672
11232078947
12118469000
137a8c7301
144928c4a4
152d15814c
hex1d4192c0

490836672 has 168 divisors, whose sum is σ = 1500191056. Its totient is φ = 159003648.

The previous prime is 490836667. The next prime is 490836673. The reversal of 490836672 is 276638094.

It is not an unprimeable number, because it can be changed into a prime (490836673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 574998 + ... + 575850.

Almost surely, 2490836672 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 490836672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750095528).

490836672 is an abundant number, since it is smaller than the sum of its proper divisors (1009354384).

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

490836672 is an equidigital number, since it uses as much as digits as its factorization.

490836672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 490836672 is about 22154.8340548965. The cubic root of 490836672 is about 788.8219754776.

It can be divided in two parts, 49083 and 6672, that added together give a palindrome (55755).

The spelling of 490836672 in words is "four hundred ninety million, eight hundred thirty-six thousand, six hundred seventy-two".