Search a number
-
+
490392000 = 26325372139
BaseRepresentation
bin11101001110101…
…100100111000000
31021011202111100200
4131032230213000
52001020021000
6120354445200
715103156200
oct3516544700
91234674320
10490392000
112318a484a
12118293800
137a79caa7
14491b4400
152d0bb500
hex1d3ac9c0

490392000 has 504 divisors, whose sum is σ = 2055296880. Its totient is φ = 111283200.

The previous prime is 490391989. The next prime is 490392017. The reversal of 490392000 is 293094.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3527931 + ... + 3528069.

It is an arithmetic number, because the mean of its divisors is an integer number (4077970).

Almost surely, 2490392000 is an apocalyptic number.

490392000 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 490392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027648440).

490392000 is an abundant number, since it is smaller than the sum of its proper divisors (1564904880).

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

490392000 is a wasteful number, since it uses less digits than its factorization.

490392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 490392000 is about 22144.7962284596. The cubic root of 490392000 is about 788.5836932110.

The spelling of 490392000 in words is "four hundred ninety million, three hundred ninety-two thousand".