Search a number
-
+
497002000 = 245311192941
BaseRepresentation
bin11101100111111…
…010011000010000
31021122012022120111
4131213322120100
52004213031000
6121152251104
715213306265
oct3547723020
91248168514
10497002000
112355a9a60
1211a540a94
137bc75631
144a01526c
152d974cba
hex1d9fa610

497002000 has 320 divisors, whose sum is σ = 1462406400. Its totient is φ = 161280000.

The previous prime is 497001983. The next prime is 497002001. The reversal of 497002000 is 200794.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (497002001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12121980 + ... + 12122020.

It is an arithmetic number, because the mean of its divisors is an integer number (4570020).

Almost surely, 2497002000 is an apocalyptic number.

497002000 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 497002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731203200).

497002000 is an abundant number, since it is smaller than the sum of its proper divisors (965404400).

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

497002000 is a wasteful number, since it uses less digits than its factorization.

497002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 497002000 is about 22293.5416656932. The cubic root of 497002000 is about 792.1110020251. Note that the first 3 decimals are identical.

Adding to 497002000 its reverse (200794), we get a palindrome (497202794).

The spelling of 497002000 in words is "four hundred ninety-seven million, two thousand".